Can we send app through Bluetooth?
While you can’t share installed apps through Bluetooth, you can share links to app downloads in the Play Store via Bluetooth, as well as Android Beam. You can also share APK files, which are used to install apps on Android over Bluetooth.
How do I share an app with someone?
On your Android device, just open up the Android Market and select the app you want to share, then scroll down to “Share This Application” to either email, text or Facebook message it to someone.