389762830956256 has 192 divisors, whose sum is σ = 883280163870720. Its totient is φ = 168074032250880.

The previous prime is 389762830956253. The next prime is 389762830956277. The reversal of 389762830956256 is 652659038267983.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389762830956253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636360496 + ... + 636972688.

It is an arithmetic number, because the mean of its divisors is an integer number (4600417520160).

Almost surely, 2^{389762830956256} 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 389762830956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441640081935360).

389762830956256 is an abundant number, since it is smaller than the sum of its proper divisors (493517332914464).

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

389762830956256 is a wasteful number, since it uses less digits than its factorization.

389762830956256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614257 (or 614249 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 79.

The spelling of 389762830956256 in words is "three hundred eighty-nine trillion, seven hundred sixty-two billion, eight hundred thirty million, nine hundred fifty-six thousand, two hundred fifty-six".