389434953600 has 768 divisors, whose sum is σ = 1776932697600. Its totient is φ = 80920166400.

The previous prime is 389434953581. The next prime is 389434953613. The reversal of 389434953600 is 6359434983.

389434953600 is a `hidden beast` number, since 3 + 8 + 94 + 3 + 495 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6623532 + ... + 6682068.

It is an arithmetic number, because the mean of its divisors is an integer number (2313714450).

Almost surely, 2^389434953600 is an apocalyptic number.

389434953600 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 389434953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888466348800).

389434953600 is an abundant number, since it is smaller than the sum of its proper divisors (1387497744000).

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

389434953600 is a wasteful number, since it uses less digits than its factorization.

389434953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58588 (or 58565 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 389434953600 in words is "three hundred eighty-nine billion, four hundred thirty-four million, nine hundred fifty-three thousand, six hundred".