The last episode of the anime, 404 (38 from Thousand-year Blood War), adapts chapter 630 from page 6 to 17, chapter 631, chapter 632, chapter 633 and chapter 634. Then the story would continue on page 6 of chapter 654, this is the chapter of the manga that you have to read after the anime, it corresponds to Volume 72 that collects the chapters 653 to 663.
The last arc of the Bleach manga is currently being adapted, this after the anime stopped at episode 366, but in 2022 the broadcast of Tite Kubo's work would return, after a wait of more than 10 years. If you decide to start reading the manga, 36 chapters would await you.
What Chapter is Bleach manga at right now?
The last chapter of the manga is 686, and the last volume is 74 that compiles the chapters from 675 to 686, this in case you want to buy the corresponding manga volume.
The anime is currently airing with a new episode premiering every Saturday morning, with the exception of Japanese holidays. The manga is finished and you can read it for free through Manga Plus.