3863080253688 has 256 divisors, whose sum is σ = 10534968000000. Its totient is φ = 1176277137408.

The previous prime is 3863080253671. The next prime is 3863080253717. The reversal of 3863080253688 is 8863520803683.

3863080253688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279587843 + ... + 1279590861.

It is an arithmetic number, because the mean of its divisors is an integer number (41152218750).

Almost surely, 2^{3863080253688} is an apocalyptic number.

3863080253688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863080253688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267484000000).

3863080253688 is an abundant number, since it is smaller than the sum of its proper divisors (6671887746312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3863080253688 is a wasteful number, since it uses less digits than its factorization.

3863080253688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 3863080253688 in words is "three trillion, eight hundred sixty-three billion, eighty million, two hundred fifty-three thousand, six hundred eighty-eight".