I love my 720. I'm working on the OC of it in my spare time, i'm updating my sig as i get stable clocks.
I can guarantee that if the OP has the Athlon 64 X2 4000+ that it is physically impossible to unlock a 3rd or 4th core for that chip, as it is built as a dual core. It's only the Athlon II or Phenom II series that can be unlocked, and then, not always. It's all about batch numbers... some sites will help you find what you need, but I'm afraid I don't know where to look.
For some background for those that don't know. The original X3's and X2's were failed quad cores. People loved how cheap these chips were, so there was a tonne of demand. This lead to AMD taking some perfectly good quad cores and disabling some cores to sell them as lower spec ones. If you get one of these, ACC will let you unlock it.
OP: You may be able to slot an AM3 chip into your current motherboard, but there are no AM2/AM2+ boards that have ACC, so if you want a chance of unlocking cores, you need a new motherboard as well. Look for anything with an SB710 southbridge or higher. I think there are SB710, 720, 750 chips at the moment. Check for BIOS updates and CPU compatibility lists, as not all older boards have been updated to take newer chips.