The TS3500 internal web server provides some information about the cartridges. Not sure what they really means. It does tell you the number of read and write errors for both LTO and 3592 cartridges from the cartridge memory.
Go to your TS3500 library internal web server Expand +Cartridges Select Data Cartridges Select Download mount history(.csv) This will pull up a spreadsheet with the last 100 mounts for the library. Information include are Mount History Mount Life >>> Tape Alert Mounts WRetries Media Media Media Date and Time VolSer Frame Drive LogLib EAddr _1-64 Count Count >>> >>> >>> Mount >>> >>> >>> >>> >>> >>> WPerms RRetries RPerms Rating >>> >>> >>> >>> >>> Write Media Media Media Drive Media Ports Port0 Port1 Rsvd Perf Count Count Count _1-255 _1-255 _1-255 _1-255 _1-255 _1-255 Util% >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> >>> Read >>> >>> >>> Capacity >>> >>> Crypto >>> ERPs Burst Buffer Perf ERPs Burst Buffer Total Writes Control Status Rekey Impct% Util% Util% Util% Impct% Util% Util% Util% Util% Util%