379866432 has 168 divisors, whose sum is σ = 1123724448. Its totient is φ = 113146880.

The previous prime is 379866427. The next prime is 379866437. The reversal of 379866432 is 234668973.

379866432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (379866427) and next prime (379866437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379866437) 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 23 ways as a sum of consecutive naturals, for example, 1928158 + ... + 1928354.

It is an arithmetic number, because the mean of its divisors is an integer number (6688836).

Almost surely, 2^379866432 is an apocalyptic number.

379866432 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 379866432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561862224).

379866432 is an abundant number, since it is smaller than the sum of its proper divisors (743858016).

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

379866432 is a wasteful number, since it uses less digits than its factorization.

379866432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 379866432 is about 19490.1624416011. The cubic root of 379866432 is about 724.2307700202.

The spelling of 379866432 in words is "three hundred seventy-nine million, eight hundred sixty-six thousand, four hundred thirty-two".