The next number in the sequence is 0.
To find this, the sequence starts with the number 3888 and then divides by 6 repeatedly. So, 3888 divided by 6 is 648, 648 divided by 6 is 108, 108 divided by 6 is 18, 18 divided by 6 is 3, and 3 divided by 6 is 0.
3888 648 108 18 3 ___
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