Can this processor be upgraded to a dual core in an emachine T-3624 model and if so, is it worth the cost and any improvements that may help my computer work better?
Since this board is an OEM board, the best thing to do is to contact the E-Machine Technical Support for more information.
They even offer chat support, so it is best to check with them.
Once you know which CPUs are supported on the board, check on this link for a CPU comparison:
All the best,