344480256 has 80 divisors (see below), whose sum is σ = 1019726400. Its totient is φ = 114822144.

The previous prime is 344480243. The next prime is 344480263. The reversal of 344480256 is 652084443.

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 344480256.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1365 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (12746580).

Almost surely, 2^344480256 is an apocalyptic number.

344480256 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 344480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509863200).

344480256 is an abundant number, since it is smaller than the sum of its proper divisors (675246144).

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

344480256 is an equidigital number, since it uses as much as digits as its factorization.

344480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24946 (or 24924 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 344480256 is about 18560.1793094787. The cubic root of 344480256 is about 701.0055317590.

The spelling of 344480256 in words is "three hundred forty-four million, four hundred eighty thousand, two hundred fifty-six".