379296 has 48 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 126144.

The previous prime is 379289. The next prime is 379307. The reversal of 379296 is 692973.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 379296.

It is an unprimeable number.

379296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2³⁷⁹²⁹⁶ is an apocalyptic number.

379296 is a gapful number since it is divisible by the number (36) 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 379296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

379296 is an abundant number, since it is smaller than the sum of its proper divisors (729504).

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

379296 is a wasteful number, since it uses less digits than its factorization.

379296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 379296 is about 615.8701161771. The cubic root of 379296 is about 72.3868071156.

The spelling of 379296 in words is "three hundred seventy-nine thousand, two hundred ninety-six".