If you are a battered spouse of a U.S. citizen who was granted approval of an I-360 on that basis and you have been an lawful permanent resident for three years, you can apply for U.S. citizenship immediately, without having to show that you are still residing with the citizen spouse. In addition, it does not matter if you are still married to the citizen or divorced.
You can also apply after three years as an lawful permanent resident if your abusive spouse has died.