^This
Keep the bar path in mind on any kind of clean. It should travel straight up. I actually try to pull it straight up my stomach and chest almost touching them the whole time. You shouldn't pull the bar over either when you rack it. It should come straight up like a high pull, and at it's highest point you come under it. You could theoretically not even touch the bar with your hands when you are coming to rack it because it is at the apex of the pull.
Remember, your hands are just hooks at the end of your arms holding the bar. The pull is coming from your legs, traps, and back, and most importantly, hip drive with a final push through you calves to maximize the pull. When you get the whole thing together, even in a hang clean, you will be surprised how much more power you generate. The first time I got my traps pulling right with proper hip drive and extension, I damn near knocked my head off with a weight that I had been struggling to rep just two days before. It was that much easier to pull. All your arms are doing is making sure the bar is traveling straight and helping to provide a balanced rack position.