334813680 has 60 divisors (see below), whose sum is σ = 1124418360. Its totient is φ = 89283456.

The previous prime is 334813663. The next prime is 334813693. The reversal of 334813680 is 86318433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×334813680² = 224200400630284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231790 + ... + 233229.

It is an arithmetic number, because the mean of its divisors is an integer number (18740306).

Almost surely, 2^334813680 is an apocalyptic number.

334813680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334813680 is an abundant number, since it is smaller than the sum of its proper divisors (789604680).

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

334813680 is a wasteful number, since it uses less digits than its factorization.

334813680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465038 (or 465029 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 334813680 is about 18297.9146352802. The cubic root of 334813680 is about 694.3861736896.

The spelling of 334813680 in words is "three hundred thirty-four million, eight hundred thirteen thousand, six hundred eighty".