379778432 has 128 divisors (see below), whose sum is σ = 872467200. Its totient is φ = 163072000.

The previous prime is 379778431. The next prime is 379778459. The reversal of 379778432 is 234877973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379778431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2899007 + ... + 2899137.

It is an arithmetic number, because the mean of its divisors is an integer number (6816150).

Almost surely, 2^379778432 is an apocalyptic number.

379778432 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 379778432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436233600).

379778432 is an abundant number, since it is smaller than the sum of its proper divisors (492688768).

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

379778432 is a wasteful number, since it uses less digits than its factorization.

379778432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 50.

The square root of 379778432 is about 19487.9047616720. The cubic root of 379778432 is about 724.1748405105.

The spelling of 379778432 in words is "three hundred seventy-nine million, seven hundred seventy-eight thousand, four hundred thirty-two".