What if circulating supply reaches max supply?

I'm curious, what implications does it have when the circulating supply of a cryptocurrency reaches its maximum supply? Does it mean the coin is no longer minable? How does this affect the value and trading dynamics of the asset? Is there a potential for price appreciation or depreciation in such a scenario? Additionally, are there any historical examples of cryptocurrencies that have already reached their max supply, and how did they fare post-attainment? Lastly, what strategies should investors consider when evaluating a coin's proximity to its max supply?