389038712832 has 1440 divisors, whose sum is σ = 1559025468000. Its totient is φ = 95312609280.

The previous prime is 389038712819. The next prime is 389038712903. The reversal of 389038712832 is 238217830983.

It is a super-2 number, since 2×389038712832² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1698858894 + ... + 1698859122.

It is an arithmetic number, because the mean of its divisors is an integer number (1082656575).

Almost surely, 2^389038712832 is an apocalyptic number.

389038712832 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 389038712832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779512734000).

389038712832 is an abundant number, since it is smaller than the sum of its proper divisors (1169986755168).

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

389038712832 is a wasteful number, since it uses less digits than its factorization.

389038712832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 389038 and 712832, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 389038712832 in words is "three hundred eighty-nine billion, thirty-eight million, seven hundred twelve thousand, eight hundred thirty-two".