334890960 has 120 divisors (see below), whose sum is σ = 1096849440. Its totient is φ = 84291840.

The previous prime is 334890943. The next prime is 334890989. The reversal of 334890960 is 69098433.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×334890960² = 224303910179443200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235625 + ... + 1235895.

It is an arithmetic number, because the mean of its divisors is an integer number (9140412).

Almost surely, 2^334890960 is an apocalyptic number.

334890960 is a gapful number since it is divisible by the number (30) 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 334890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548424720).

334890960 is an abundant number, since it is smaller than the sum of its proper divisors (761958480).

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

334890960 is a wasteful number, since it uses less digits than its factorization.

334890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 334890960 is about 18300.0262294894. The cubic root of 334890960 is about 694.4395944811.

The spelling of 334890960 in words is "three hundred thirty-four million, eight hundred ninety thousand, nine hundred sixty".