I would like to have $$3\mathrm{.}75$ million in my retirement account by the time I retire in $30$ years. I am currently $35$ years old and currently have $$150,000$ in my account, so I've got a loooong way to go$.$

How much do I need to deposit into my account every month to reach my goal, if I assume an $8\mathrm{.}2\%$ APR interest rate, compounded monthly?