CPU-Z will tell you the core.
I don't see any reason to upgrade, the performance gain you'll notice will most likely be minimal. In short, you most likely won't notice any difference. All games today are far more GPU dependant than CPU dependant.
Intel C2D E6320 / AMD Athlon X2 3800+
Gigabyte 965P DS3 / DFI nF4 Ultra-D
2GB OCZ Gold PC2-6400 / 2GB OCZ Gold PC4000
eVGA 8800GTS 320MB / eVGA 6800GS 256MB
150GB Raptor / 74GB Raptor
2x500GB / 320GB
OCZ GameXStreme 850w / OCZ StealthXStream 600w