379816992 has 192 divisors, whose sum is σ = 1235606400. Its totient is φ = 112803840.

The previous prime is 379816981. The next prime is 379816993. The reversal of 379816992 is 299618973.

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

It is not an unprimeable number, because it can be changed into a prime (379816993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278392 + ... + 279752.

It is an arithmetic number, because the mean of its divisors is an integer number (6435450).

Almost surely, 2^379816992 is an apocalyptic number.

379816992 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 379816992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617803200).

379816992 is an abundant number, since it is smaller than the sum of its proper divisors (855789408).

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

379816992 is a wasteful number, since it uses less digits than its factorization.

379816992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1402 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 379816992 is about 19488.8940681610. The cubic root of 379816992 is about 724.1993488681.

The spelling of 379816992 in words is "three hundred seventy-nine million, eight hundred sixteen thousand, nine hundred ninety-two".