379040256 has 160 divisors (see below), whose sum is σ = 1282596480. Its totient is φ = 108269568.

The previous prime is 379040251. The next prime is 379040257. The reversal of 379040256 is 652040973.

It is a super-3 number, since 3×379040256³ (a number of 27 digits) contains 333 as substring.

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 379040256.

It is not an unprimeable number, because it can be changed into a prime (379040251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94810 + ... + 98726.

It is an arithmetic number, because the mean of its divisors is an integer number (8016228).

Almost surely, 2^379040256 is an apocalyptic number.

379040256 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 379040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641298240).

379040256 is an abundant number, since it is smaller than the sum of its proper divisors (903556224).

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

379040256 is an equidigital number, since it uses as much as digits as its factorization.

379040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3951 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 379040256 is about 19468.9562123910. The cubic root of 379040256 is about 723.7053428915.

The spelling of 379040256 in words is "three hundred seventy-nine million, forty thousand, two hundred fifty-six".