By default Snow Leopard will boot with a 32 bit kernal, however that has no effect on running 64 bit applications.
To boot into the 64 bit kernal hold down "6" and "4" keys at start up until you see the apple logo.
You can permanently set Snow Leopard to boot into 64 bit if you want, however I really don't want to mention the method to do that, as it involves editing a system file and adding a string of text to tell it to go into 64 bit.
If you do want to go that route just google it. Also if you ARE in the 64 bit kernal you can boot into 32 bit by holding down "3" and "2".