For a moble laptop should someone have a 64–bit or 32 bit ?

Salutations and Greetings Ladies and Gentlemen, Is it better for a laptop user to have 64 bit or 32 bit hardware on a Intel core 2 duo,T7800 @2.60 GHz, 777MHz, with 4 GB,but only reading 3.? If either way, please explain ? Thank you.