388769738976 has 144 divisors (see below), whose sum is σ = 1109797809120. Its totient is φ = 129094456320.

The previous prime is 388769738911. The next prime is 388769738989. The reversal of 388769738976 is 679837967883.

388769738976 is a `hidden beast` number, since 3 + 8 + 87 + 6 + 97 + 389 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×388769738976² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 388769738895 and 388769738904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175041546 + ... + 175043766.

It is an arithmetic number, because the mean of its divisors is an integer number (7706929230).

Almost surely, 2^388769738976 is an apocalyptic number.

388769738976 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 388769738976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554898904560).

388769738976 is an abundant number, since it is smaller than the sum of its proper divisors (721028070144).

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

388769738976 is a wasteful number, since it uses less digits than its factorization.

388769738976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4278 counting only the distinct ones).

The product of its digits is 4608866304, while the sum is 81.

The spelling of 388769738976 in words is "three hundred eighty-eight billion, seven hundred sixty-nine million, seven hundred thirty-eight thousand, nine hundred seventy-six".