334414656 has 84 divisors (see below), whose sum is σ = 994086912. Its totient is φ = 111466368.

The previous prime is 334414651. The next prime is 334414669. The reversal of 334414656 is 656414433.

It is a super-2 number, since 2×334414656² = 223666324295196672, which contains 22 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 334414656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334414651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4801 + ... + 26303.

It is an arithmetic number, because the mean of its divisors is an integer number (11834368).

Almost surely, 2^334414656 is an apocalyptic number.

334414656 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 334414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497043456).

334414656 is an abundant number, since it is smaller than the sum of its proper divisors (659672256).

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

334414656 is an equidigital number, since it uses as much as digits as its factorization.

334414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21530 (or 21508 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 334414656 is about 18287.0078471028. The cubic root of 334414656 is about 694.1102123520.

The spelling of 334414656 in words is "three hundred thirty-four million, four hundred fourteen thousand, six hundred fifty-six".