Stacking Cisco 3750 switches provides benefits like increased bandwidth, simplified management through a single configuration file, cleaner cabling, and the ability to add or remove switches without interrupting service. When stacking switches, all switches must run the same Cisco IOS software version and feature set, have the same stack member number configuration, and the highest priority switch will become the master. Connecting switches via stackwise cables allows them to function as a single logical switch with increased ports and bandwidth.