How to clean cracked iPhone screen?

My iPhone 4 screen is Really cracked; I can sometimes see a light on the top that's not supposed to be there. I'm fine with this because the phone still works good, but the screen where the cracks are is really messy, because I don't know how to clean it. I don't mean with water or anything, but a crack in the corner caused the glass there to move when I touch it too much (When using the phone this isn't a problem, as the crack is off the touch-screen part of the phone). Do you have any idea how I could clean/ wipe off my phone without breaking it?

There's this stuff that is called Electronic Duster/Cleaner and that should help you.

Use a Q-Tip or alcohol swab and gently clean it. That should work.