379868832 has 192 divisors, whose sum is σ = 1280240640. Its totient is φ = 107336448.

The previous prime is 379868809. The next prime is 379868849. The reversal of 379868832 is 238868973.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646843 + ... + 647429.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2^379868832 is an apocalyptic number.

379868832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

379868832 is the 12327-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379868832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640120320).

379868832 is an abundant number, since it is smaller than the sum of its proper divisors (900371808).

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

379868832 is a wasteful number, since it uses less digits than its factorization.

379868832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 379868832 is about 19490.2240110267. The cubic root of 379868832 is about 724.2322952494.

The spelling of 379868832 in words is "three hundred seventy-nine million, eight hundred sixty-eight thousand, eight hundred thirty-two".