Apparatuses and methods for self-refreshing a plurality of dies are described. An example apparatus includes a first die including a first bank and a second bank, the first bank and the second bank including memory cells; and a second die vertically stacked with the first die, the second die including a third bank and a fourth bank, the third bank and the fourth bank including memory cells. The third bank is vertically aligned with the first bank. The first bank and the fourth bank are configured to be refreshed prior to refreshing the second bank and the fourth bank.