Pre-orders for the iPhone 4S are available in 22 more countries today, giving a huge new batch of customers their first opportunity to get their hands on the highly-anticipated device.

More than 3 million iPhone 4s pre-orders were processed in the U.S. during the first week, and the first-week the device was available, actual sales topped 4 million.

Apple’s senior vice president, Phillip Schiller, said in a statement this week, “iPhone 4S is a hit with customers around the world, and together with iOS 5 and iCloud, is the best iPhone ever.”

When Apple CEO Tim Cook first announced the iPhone 4S, he said the internationalization of the device would also be the fastest in the company’s history.

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Pre-orders of unlocked and SIM-free iPhone 4S units are now available in Austria, Belgium, Czech Republic, Denmark, Estonia, Finland, Hungary, Ireland, Italy, Latvia, Liechtenstein, Lithuania, Luxembourg, Mexico, Netherlands, Norway, Singapore, Slovakia, Slovenia, Spain, Sweden and Switzerland, according to SlashGear.