hello. Welcome to HCM.
A single gall stone of size 3.4 cms definitely needs surgical removal. It will not dissolve by itself/ with medications. The laproscopic cholecystectomy
is a safe and standardised procedure nowadays with minimal side effects. on the other hand, untreated gallstones can be complicated by gall bladder empyema
, perforation and in very long standing cases, also by malignancy. So, get it removed at once in a good centre. It is one of those obedient diseases which have complete cure.
Hope this helps. take care.