392338742880 has 1152 divisors, whose sum is σ = 1581483294720. Its totient is φ = 81203834880.

The previous prime is 392338742863. The next prime is 392338742893. The reversal of 392338742880 is 88247833293.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 392338742880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1759366449 + ... + 1759366671.

It is an arithmetic number, because the mean of its divisors is an integer number (1372815360).

Almost surely, 2^392338742880 is an apocalyptic number.

392338742880 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 392338742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790741647360).

392338742880 is an abundant number, since it is smaller than the sum of its proper divisors (1189144551840).

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

392338742880 is a wasteful number, since it uses less digits than its factorization.

392338742880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 392338742880 in words is "three hundred ninety-two billion, three hundred thirty-eight million, seven hundred forty-two thousand, eight hundred eighty".