379578432 has 56 divisors (see below), whose sum is σ = 1008254016. Its totient is φ = 126028288.

The previous prime is 379578427. The next prime is 379578443. The reversal of 379578432 is 234875973.

379578432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46738 + ... + 54254.

It is an arithmetic number, because the mean of its divisors is an integer number (18004536).

Almost surely, 2^379578432 is an apocalyptic number.

379578432 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 379578432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504127008).

379578432 is an abundant number, since it is smaller than the sum of its proper divisors (628675584).

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

379578432 is a wasteful number, since it uses less digits than its factorization.

379578432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795 (or 7785 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 379578432 is about 19482.7726979504. The cubic root of 379578432 is about 724.0476958495.

The spelling of 379578432 in words is "three hundred seventy-nine million, five hundred seventy-eight thousand, four hundred thirty-two".