Catalyzes Na(+)/Ca(2+) exchange. The transport is electrogenic with a likely stoichiometry of 3 or more Na(+) for each Ca(2+). Is K(+)-independent. Calcium transport is inhibited by Na(+), K(+), Li(+), Mg(2+) or Mn(2+). Belongs to the Ca(2+):cation antiporter (CaCA) (TC 2.A.19) family.