This will depend on your liquidity needs in the near future. Under most circumstances we recommend having anywhere between 3 and 12 months of living expenses ("emergency fund") in liquid vehicles such as the bank account which you describe. If you are in a situation where you have such liquidity then it would make sense to invest any other assets based upon your time horizon for any financial goals and objectives which you may have.
I may be a bit out of scope here, but if after considering the advice in the other answers you do decide to leave the money in a bank account, you should at least find one that gives you a better rate. Ally Bank, Discover, Sychrony Financial and a couple others give you about a full 1.00% APY. Happy savings, -JP
If you do have the liquidity, you can look to an investment account. One of the best options is something sponsored by your employer - like a 401k or 403b. Many people that I've met believe that they are limited to what the employer matches regarding their 401k contribution. This year, you can get up to $18,000 into your employer sponsored plan, and $6,000 more if you're over 50. No one that I know has ever complained of having too much saved for retirement. (at least not once they're retired)
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