NAD-dependent lysine demalonylase, desuccinylase and deglutarylase that specifically removes malonyl, succinyl and glutaryl groups on target proteins. Has weak NAD-dependent protein deacetylase activity; however this activity may not be physiologically relevant in vivo. H2O + N(6)-malonyl-L-lysyl-[protein] + NAD(+) = 2''-O-malonyl-ADP-D-ribose + L-lysyl-[protein] + nicotinamide H2O + N(6)-succinyl-L-lysyl-[protein] + NAD(+) = 2''-O-succinyl-ADP-D-ribose + L-lysyl-[protein] + nicotinamide H2O + N(6)-glutaryl-L-lysyl-[protein] + NAD(+) = 2''-O-glutaryl-ADP-D-ribose + L-lysyl-[protein] + nicotinamide Binds 1 zinc ion per subunit. In contrast to class I sirtuins, class III sirtuins have only weak deacetylase activity. Difference in substrate specificity is probably due to a larger hydrophobic pocket with 2 residues (Tyr-73 and Arg-76) that bind to malonylated and succinylated substrates and define the specificity. This protein may be expected to contain an N-terminal transit peptide but none has been predicted. Belongs to the sirtuin family. Class III subfamily.