388607901696 has 756 divisors, whose sum is σ = 1371868767612. Its totient is φ = 109693108224.

The previous prime is 388607901691. The next prime is 388607901697. The reversal of 388607901696 is 696109706883.

388607901696 is a `hidden beast` number, since 3 + 8 + 8 + 607 + 9 + 0 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×388607901696² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388607901691) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4682022871 + ... + 4682022953.

It is an arithmetic number, because the mean of its divisors is an integer number (1814641227).

Almost surely, 2^388607901696 is an apocalyptic number.

388607901696 is a gapful number since it is divisible by the number (36) 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 388607901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685934383806).

388607901696 is an abundant number, since it is smaller than the sum of its proper divisors (983260865916).

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

388607901696 is an frugal number, since it uses more digits than its factorization.

388607901696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 388607901696 in words is "three hundred eighty-eight billion, six hundred seven million, nine hundred one thousand, six hundred ninety-six".