It sounds like a ground hum but it could be coming from anywhere.
ie, it's either your mic, sound card or the plug.

This is what a 60 Cycle Hum sounds like:

http://s93744050.onlinehome.us/60CycleHum.mp3

... being caused by an electrical short.

The only way to get rid of it is to check each piece of equipment in your lineup one at a time with something else until you narrow down where it's coming from.
You could get rid of some of the noise with EQ but the signal to noise ratio you've got there would require some massive EQing so it'd affect the recording itself. Plus you'd still be able to hear it.

To make a long story short, in order to get a good recording, you need a decent mic, a mixer or something to adjust the volume of the signal going into your computer, a decent mic cable and a decent sound card..preferably one capable of 24 bit recording. Even better is using two mics so you get stereo.
You might also want to mock up a 'vocal' booth or a room where there's no noise coming from your computer monitor or fan.