How to prevent status bar from overlapping content with hidesBarsOnSwipe set on UINavigationController?

Actually it is pretty easy to do. You just need to connect navigation isNavigationBarHidden property with status bar.

Objective-C

- (BOOL)prefersStatusBarHidden {
    return self.navigationController.isNavigationBarHidden;
}

Swift <= 2.3

override func prefersStatusBarHidden() -> Bool {
    return navigationController?.navigationBarHidden ?? false
}

Swift 3.0

override var prefersStatusBarHidden: Bool {
    return navigationController?.isNavigationBarHidden ?? false
}

And be sure you have “View controller-based status bar appearance” = “YES” in your application .plist file.