diff --git a/cpp/src/arrow/memory_pool.cc b/cpp/src/arrow/memory_pool.cc
index 3ace2c8f23ab0..42ca539204ffd 100644
--- a/cpp/src/arrow/memory_pool.cc
+++ b/cpp/src/arrow/memory_pool.cc
@@ -266,6 +266,8 @@ class DebugAllocator {
     }
   }
 
+  static void PrintStats() { WrappedAllocator::PrintStats(); }
+
  private:
   static Result<int64_t> RawSize(int64_t size) {
     if (ARROW_PREDICT_FALSE(internal::AddWithOverflow(size, kOverhead, &size))) {
@@ -378,6 +380,12 @@ class SystemAllocator {
     // The return value of malloc_trim is not an error but to inform
     // you if memory was actually released or not, which we do not care about here
     ARROW_UNUSED(malloc_trim(0));
+#endif
+  }
+
+  static void PrintStats() {
+#ifdef __GLIBC__
+    malloc_stats();
 #endif
   }
 };
@@ -430,6 +438,8 @@ class MimallocAllocator {
       mi_free(ptr);
     }
   }
+
+  static void PrintStats() { mi_stats_print_out(nullptr, nullptr); }
 };
 
 #endif  // defined(ARROW_MIMALLOC)
@@ -512,6 +522,8 @@ class BaseMemoryPoolImpl : public MemoryPool {
 
   void ReleaseUnused() override { Allocator::ReleaseUnused(); }
 
+  void PrintStats() override { Allocator::PrintStats(); }
+
   int64_t bytes_allocated() const override { return stats_.bytes_allocated(); }
 
   int64_t max_memory() const override { return stats_.max_memory(); }
@@ -724,6 +736,10 @@ void LoggingMemoryPool::Free(uint8_t* buffer, int64_t size, int64_t alignment) {
   std::cout << "Free: size = " << size << ", alignment = " << alignment << std::endl;
 }
 
+void LoggingMemoryPool::ReleaseUnused() { pool_->ReleaseUnused(); }
+
+void LoggingMemoryPool::PrintStats() { pool_->PrintStats(); }
+
 int64_t LoggingMemoryPool::bytes_allocated() const {
   int64_t nb_bytes = pool_->bytes_allocated();
   std::cout << "bytes_allocated: " << nb_bytes << std::endl;
@@ -775,6 +791,14 @@ class ProxyMemoryPool::ProxyMemoryPoolImpl {
     stats_.DidFreeBytes(size);
   }
 
+  void ReleaseUnused() { pool_->ReleaseUnused(); }
+
+  void PrintStats() {
+    // XXX these are the allocation stats for the underlying allocator, not
+    // the subset allocated through the ProxyMemoryPool
+    pool_->PrintStats();
+  }
+
   int64_t bytes_allocated() const { return stats_.bytes_allocated(); }
 
   int64_t max_memory() const { return stats_.max_memory(); }
@@ -809,6 +833,10 @@ void ProxyMemoryPool::Free(uint8_t* buffer, int64_t size, int64_t alignment) {
   return impl_->Free(buffer, size, alignment);
 }
 
+void ProxyMemoryPool::ReleaseUnused() { impl_->ReleaseUnused(); }
+
+void ProxyMemoryPool::PrintStats() { impl_->PrintStats(); }
+
 int64_t ProxyMemoryPool::bytes_allocated() const { return impl_->bytes_allocated(); }
 
 int64_t ProxyMemoryPool::max_memory() const { return impl_->max_memory(); }
diff --git a/cpp/src/arrow/memory_pool.h b/cpp/src/arrow/memory_pool.h
index 98c6dc3e211b8..19a938c33601b 100644
--- a/cpp/src/arrow/memory_pool.h
+++ b/cpp/src/arrow/memory_pool.h
@@ -151,6 +151,12 @@ class ARROW_EXPORT MemoryPool {
   /// unable to fulfill the request due to fragmentation.
   virtual void ReleaseUnused() {}
 
+  /// Print statistics
+  ///
+  /// Print allocation statistics on stderr. The output format is
+  /// implementation-specific. Not all memory pools implement this method.
+  virtual void PrintStats() {}
+
   /// The number of bytes that were allocated and not yet free'd through
   /// this allocator.
   virtual int64_t bytes_allocated() const = 0;
@@ -187,6 +193,8 @@ class ARROW_EXPORT LoggingMemoryPool : public MemoryPool {
   Status Reallocate(int64_t old_size, int64_t new_size, int64_t alignment,
                     uint8_t** ptr) override;
   void Free(uint8_t* buffer, int64_t size, int64_t alignment) override;
+  void ReleaseUnused() override;
+  void PrintStats() override;
 
   int64_t bytes_allocated() const override;
 
@@ -219,6 +227,8 @@ class ARROW_EXPORT ProxyMemoryPool : public MemoryPool {
   Status Reallocate(int64_t old_size, int64_t new_size, int64_t alignment,
                     uint8_t** ptr) override;
   void Free(uint8_t* buffer, int64_t size, int64_t alignment) override;
+  void ReleaseUnused() override;
+  void PrintStats() override;
 
   int64_t bytes_allocated() const override;
 
diff --git a/cpp/src/arrow/memory_pool_internal.h b/cpp/src/arrow/memory_pool_internal.h
index 01500b3c1eae1..dc90d5680b665 100644
--- a/cpp/src/arrow/memory_pool_internal.h
+++ b/cpp/src/arrow/memory_pool_internal.h
@@ -44,6 +44,7 @@ class JemallocAllocator {
                                   uint8_t** ptr);
   static void DeallocateAligned(uint8_t* ptr, int64_t size, int64_t alignment);
   static void ReleaseUnused();
+  static void PrintStats();
 };
 
 #endif  // defined(ARROW_JEMALLOC)
diff --git a/cpp/src/arrow/memory_pool_jemalloc.cc b/cpp/src/arrow/memory_pool_jemalloc.cc
index 239d83b81bc67..1342fe13f7eed 100644
--- a/cpp/src/arrow/memory_pool_jemalloc.cc
+++ b/cpp/src/arrow/memory_pool_jemalloc.cc
@@ -131,6 +131,10 @@ void JemallocAllocator::ReleaseUnused() {
   mallctl("arena." ARROW_STRINGIFY(MALLCTL_ARENAS_ALL) ".purge", NULL, NULL, NULL, 0);
 }
 
+void JemallocAllocator::PrintStats() {
+  malloc_stats_print(nullptr, nullptr, /*opts=*/"");
+}
+
 }  // namespace internal
 
 }  // namespace memory_pool
diff --git a/python/pyarrow/includes/libarrow.pxd b/python/pyarrow/includes/libarrow.pxd
index b2edeb0b4192f..021c1c782c6e5 100644
--- a/python/pyarrow/includes/libarrow.pxd
+++ b/python/pyarrow/includes/libarrow.pxd
@@ -323,8 +323,11 @@ cdef extern from "arrow/api.h" namespace "arrow" nogil:
     cdef cppclass CMemoryPool" arrow::MemoryPool":
         int64_t bytes_allocated()
         int64_t max_memory()
+        int64_t total_bytes_allocated()
+        int64_t num_allocations()
         c_string backend_name()
         void ReleaseUnused()
+        void PrintStats()
 
     cdef cppclass CLoggingMemoryPool" arrow::LoggingMemoryPool"(CMemoryPool):
         CLoggingMemoryPool(CMemoryPool*)
diff --git a/python/pyarrow/memory.pxi b/python/pyarrow/memory.pxi
index 1ddcb01ccb6ab..fdd5b991a8859 100644
--- a/python/pyarrow/memory.pxi
+++ b/python/pyarrow/memory.pxi
@@ -58,6 +58,13 @@ cdef class MemoryPool(_Weakrefable):
         """
         return self.pool.bytes_allocated()
 
+    def total_bytes_allocated(self):
+        """
+        Return the total number of bytes that have been allocated from this
+        memory pool.
+        """
+        return self.pool.total_bytes_allocated()
+
     def max_memory(self):
         """
         Return the peak memory allocation in this memory pool.
@@ -69,6 +76,23 @@ cdef class MemoryPool(_Weakrefable):
         ret = self.pool.max_memory()
         return ret if ret >= 0 else None
 
+    def num_allocations(self):
+        """
+        Return the number of allocations or reallocations that were made
+        using this memory pool.
+        """
+        return self.pool.num_allocations()
+
+    def print_stats(self):
+        """
+        Print statistics about this memory pool.
+
+        The output format is implementation-specific. Not all memory pools
+        implement this method.
+        """
+        with nogil:
+            self.pool.PrintStats()
+
     @property
     def backend_name(self):
         """
@@ -83,6 +107,7 @@ cdef class MemoryPool(_Weakrefable):
                 f"bytes_allocated={self.bytes_allocated()} "
                 f"max_memory={self.max_memory()}>")
 
+
 cdef CMemoryPool* maybe_unbox_memory_pool(MemoryPool memory_pool):
     if memory_pool is None:
         return c_get_memory_pool()
diff --git a/python/pyarrow/tests/test_memory.py b/python/pyarrow/tests/test_memory.py
index 6ed999db42cee..28f7cd51df71e 100644
--- a/python/pyarrow/tests/test_memory.py
+++ b/python/pyarrow/tests/test_memory.py
@@ -67,12 +67,17 @@ def check_allocated_bytes(pool):
     """
     allocated_before = pool.bytes_allocated()
     max_mem_before = pool.max_memory()
+    num_allocations_before = pool.num_allocations()
     with allocate_bytes(pool, 512):
         assert pool.bytes_allocated() == allocated_before + 512
         new_max_memory = pool.max_memory()
         assert pool.max_memory() >= max_mem_before
+        num_allocations_after = pool.num_allocations()
+        assert num_allocations_after > num_allocations_before
+        assert num_allocations_after < num_allocations_before + 5
     assert pool.bytes_allocated() == allocated_before
     assert pool.max_memory() == new_max_memory
+    assert pool.num_allocations() == num_allocations_after
 
 
 def test_default_allocated_bytes():
@@ -271,3 +276,20 @@ def test_debug_memory_pool_unknown(pool_factory):
         "Valid values are 'abort', 'trap', 'warn', 'none'."
     )
     check_debug_memory_pool_disabled(pool_factory, env_value, msg)
+
+
+@pytest.mark.parametrize('pool_factory', supported_factories())
+def test_print_stats(pool_factory):
+    code = f"""if 1:
+        import pyarrow as pa
+
+        pool = pa.{pool_factory.__name__}()
+        buf = pa.allocate_buffer(64, memory_pool=pool)
+        pool.print_stats()
+        """
+    res = subprocess.run([sys.executable, "-c", code], check=True,
+                         universal_newlines=True, stdout=subprocess.PIPE,
+                         stderr=subprocess.PIPE)
+    if sys.platform == "linux":
+        # On Linux at least, all memory pools should emit statistics
+        assert res.stderr.strip() != ""