3 x 3.6 GHz < 6 x 3.2 GHz
RAM
4GB < 16GB (although you said MB, I can't imagine it'd be that little)
HDD
250GB < 800GB
The underlined value is the greater of the two.
That said, if connection speed is a concern, you'll want to make sure that whatever server you choose, it's either physically closer to your target audience or you utilize something like a CDN.
Lastly, just because you have more resources like CPU and RAM, doesn't necessarily mean that whatever you're planning on hosting/building is optimized for speed. A well-written program created by an experienced programmer could run much more efficiently than a program that's just thrown together.
~Sovereign

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic