389515740768 has 432 divisors, whose sum is σ = 1407680675856. Its totient is φ = 101028372480.

The previous prime is 389515740661. The next prime is 389515740781. The reversal of 389515740768 is 867047515983.

389515740768 is a `hidden beast` number, since 3 + 8 + 9 + 51 + 574 + 0 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×389515740768³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 147934780 + ... + 147937412.

It is an arithmetic number, because the mean of its divisors is an integer number (3258520083).

Almost surely, 2^389515740768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389515740768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703840337928).

389515740768 is an abundant number, since it is smaller than the sum of its proper divisors (1018164935088).

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

389515740768 is a wasteful number, since it uses less digits than its factorization.

389515740768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 389515740768 in words is "three hundred eighty-nine billion, five hundred fifteen million, seven hundred forty thousand, seven hundred sixty-eight".