388838862720 has 1536 divisors, whose sum is σ = 1787846860800. Its totient is φ = 78100070400.

The previous prime is 388838862703. The next prime is 388838862767. The reversal of 388838862720 is 27268838883.

It is a super-2 number, since 2×388838862720² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 453720532 + ... + 453721388.

It is an arithmetic number, because the mean of its divisors is an integer number (1163962800).

Almost surely, 2^388838862720 is an apocalyptic number.

388838862720 is a gapful number since it is divisible by the number (30) 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 388838862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893923430400).

388838862720 is an abundant number, since it is smaller than the sum of its proper divisors (1399007998080).

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

388838862720 is a wasteful number, since it uses less digits than its factorization.

388838862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 388838862720 in words is "three hundred eighty-eight billion, eight hundred thirty-eight million, eight hundred sixty-two thousand, seven hundred twenty".