392934031680 has 448 divisors, whose sum is σ = 1297406315520. Its totient is φ = 100707188736.

The previous prime is 392934031603. The next prime is 392934031697. The reversal of 392934031680 is 86130439293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 475131427 + ... + 475132253.

It is an arithmetic number, because the mean of its divisors is an integer number (2895996240).

Almost surely, 2^392934031680 is an apocalyptic number.

392934031680 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 392934031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648703157760).

392934031680 is an abundant number, since it is smaller than the sum of its proper divisors (904472283840).

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

392934031680 is a wasteful number, since it uses less digits than its factorization.

392934031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 392934031680 in words is "three hundred ninety-two billion, nine hundred thirty-four million, thirty-one thousand, six hundred eighty".