These names refer to three biblical characters that refused to worship a king. The king ordered them to be burned alive, but survived completely unscathed. These three are also known as "The Three Young Men".
Brushing one's shoulders have can have different meanings in certain contexts. In an antagonistic sense, it can mean 'your [hater] opinion does not matter to me.' In sports, it can be used as a celebratory gesture to demonstrate how clean (fresh) one is.