379719360 has 224 divisors, whose sum is σ = 1360627200. Its totient is φ = 99671040.

The previous prime is 379719349. The next prime is 379719383. The reversal of 379719360 is 63917973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 613131 + ... + 613749.

Almost surely, 2^379719360 is an apocalyptic number.

379719360 is a gapful number since it is divisible by the number (30) 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 379719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680313600).

379719360 is an abundant number, since it is smaller than the sum of its proper divisors (980907840).

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

379719360 is a wasteful number, since it uses less digits than its factorization.

379719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 379719360 is about 19486.3890959818. The cubic root of 379719360 is about 724.1372917095.

The spelling of 379719360 in words is "three hundred seventy-nine million, seven hundred nineteen thousand, three hundred sixty".