334595968 has 128 divisors (see below), whose sum is σ = 802944000. Its totient is φ = 135862272.

The previous prime is 334595941. The next prime is 334595977. The reversal of 334595968 is 869595433.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×334595968² = 223908923603714048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052655 + ... + 2052817.

It is an arithmetic number, because the mean of its divisors is an integer number (6273000).

Almost surely, 2^334595968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401472000).

334595968 is an abundant number, since it is smaller than the sum of its proper divisors (468348032).

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

334595968 is a wasteful number, since it uses less digits than its factorization.

334595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The square root of 334595968 is about 18291.9645746432. The cubic root of 334595968 is about 694.2356332638.

The spelling of 334595968 in words is "three hundred thirty-four million, five hundred ninety-five thousand, nine hundred sixty-eight".