379812160 has 112 divisors (see below), whose sum is σ = 1113227136. Its totient is φ = 120195072.

The previous prime is 379812149. The next prime is 379812161. The reversal of 379812160 is 61218973.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379812161) 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, 22599 + ... + 35641.

It is an arithmetic number, because the mean of its divisors is an integer number (9939528).

Almost surely, 2^379812160 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 379812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556613568).

379812160 is an abundant number, since it is smaller than the sum of its proper divisors (733414976).

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

379812160 is a wasteful number, since it uses less digits than its factorization.

379812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 379812160 is about 19488.7700997267. The cubic root of 379812160 is about 724.1962777872.

The spelling of 379812160 in words is "three hundred seventy-nine million, eight hundred twelve thousand, one hundred sixty".