Macbook Pro with Intel Core 2 Duo says it has a 32 bit processor

I have a Macbook Pro with a 2.53 GHz Intel Core 2 Duo, Model Identifier MacBookPro5,4 with a NVIDIA GeForce 9400M and it seems to me its a 32 bit processor when I read all Core 2 Duos are 64. I just want to make sure I'm reading this right.  Below are the specs.
  Chipset Model:    NVIDIA GeForce 9400M
  Type:    GPU
  Bus:    PCI
  VRAM (Total):    256 MB
  Vendor:    NVIDIA (0x10de)
  Device ID:    0x0863
  Revision ID:    0x00b1
  ROM Revision:    3448
  Displays:
Color LCD:
  Resolution:    1440 x 900
***** Pixel Depth:    32-Bit Color (ARGB8888) ******
  Main Display:    Yes
  Mirror:    Off
  Online:    Yes
  Built-In:    Yes
Display Connector:
  Status:    No Display Connected
Thank you

Agreed.   Core2Duo processors through early 2007 were a mix of 32/64 bit, which is why they couldn't always be addressed beyond 3GB of RAM.
After then they were all 64 bit.   The graphics never increased above 32 bit, as that's all that is needed for millions of colors.  Optimizations for shade and three dimensional graphics came not from the bit of the card, but from the capacity of the graphics chip/card, measured in MB and GB.   Bit just describes the path width of the data stream.    The MB and GB of the chip/card describes the storage capacity itself.

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