The company announced Sunday afternoon that it had processed $4.6bn in withdrawals and $1bn in deposits, resulting in a net outflow of about $3.6bn.
In Australia, investors can claim a capital loss on a tax return if they can offer proof that a crypto asset was lost or stolen.
Binance confirmed that some circulating information was false and that related screenshots were digitally altered.
The exchange later added that there were additional points of breach in its systems.
As the company worked to contain the technical damage, it faced fallout from angry, scared users.
More than $2.5bn of the $6.3bn was taken in one transaction alone.
That outflow represented 2.1% of its $171bn in total assets under management.
The world’s largest cryptocurrency exchange endured the world’s largest online theft late last week, a $6.3bn heist that experts said was likely the work of North Korean hackers. Binance said it had frozen about half the funds targeted in the hack, stopping thieves from making off with that tranche of cryptocurrency.
Binance said a company engineer’s laptop was infiltrated, which in turn allowed attackers to drain wallets.