379782816 has 96 divisors (see below), whose sum is σ = 1143289728. Its totient is φ = 108134400.

The previous prime is 379782803. The next prime is 379782827. The reversal of 379782816 is 618287973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×379782816³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 236416 + ... + 238016.

It is an arithmetic number, because the mean of its divisors is an integer number (11909268).

Almost surely, 2^379782816 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 379782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571644864).

379782816 is an abundant number, since it is smaller than the sum of its proper divisors (763506912).

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

379782816 is a wasteful number, since it uses less digits than its factorization.

379782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1966 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 379782816 is about 19488.0172413717. The cubic root of 379782816 is about 724.1776270215.

The spelling of 379782816 in words is "three hundred seventy-nine million, seven hundred eighty-two thousand, eight hundred sixteen".