389857208832 has 360 divisors, whose sum is σ = 1409544572436. Its totient is φ = 102818709504.

The previous prime is 389857208773. The next prime is 389857208861. The reversal of 389857208832 is 238802758983.

389857208832 is a `hidden beast` number, since 389 + 85 + 72 + 0 + 88 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 334380001536 + 55477207296 = 578256^2 + 235536^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 389857208832.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2868888 + ... + 3001704.

Almost surely, 2^389857208832 is an apocalyptic number.

389857208832 is a gapful number since it is divisible by the number (32) 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 389857208832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704772286218).

389857208832 is an abundant number, since it is smaller than the sum of its proper divisors (1019687363604).

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

389857208832 is a wasteful number, since it uses less digits than its factorization.

389857208832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132868 (or 132842 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 389857208832 in words is "three hundred eighty-nine billion, eight hundred fifty-seven million, two hundred eight thousand, eight hundred thirty-two".