How to root Bluetimes 3584F Android TV box?
Download the utoo-root-signed.zip file from XDA Forum and move it to SD card.
Download the firmware_Bluetimes_3584F.zip file in question, unzip it and move the files quoted below to SD card:


factory_update_param.aml
u-boot.bin
recovery.img

Rename the utoo-root-signed.zip inside of SD card to g18ref-ota-20131220.zip.
Do the steps 3, 4 and 5 of the "Upgrading guide" in question.


P.S.: Even with the phone rooted I needed to create a 2nd partition EXT4 on SD card to move the apps to it by Link2SD app.

Thank you very much to stane1983.