A used ebike battery should be considered as almost worthless.

Now, it is possible that all ten strings are only charging to 3.69V. There are other possible combinations.

HOWEVER - That number is suspiciously accurate for 9 (NINE) strings charging to 4.1V each. One dead cell is Exactly what happens when a lithium battery is left uncharged for an extended period of time, and the single cell powering the BMS system is completely discharged and becomes permanently dead.

It is often possible to replace the single cell, and/or charge it individually and slowly with a single-cell charger, and bring the battery back to life. Careful monitoring is required, and replacement is best safety option.

Next question on replacement pack is attachment mechanism for the replacement pack and whether or not additional connections and/or an internal controller are also involved. 36V 10 amp is a pretty low-range pack.