334692864 has 320 divisors, whose sum is σ = 1131356160. Its totient is φ = 96768000.

The previous prime is 334692851. The next prime is 334692887. The reversal of 334692864 is 468296433.

It is a super-2 number, since 2×334692864² = 224038626425044992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713949 + ... + 4714019.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2^334692864 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 334692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565678080).

334692864 is an abundant number, since it is smaller than the sum of its proper divisors (796663296).

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

334692864 is a wasteful number, since it uses less digits than its factorization.

334692864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 334692864 is about 18294.6129775953. The cubic root of 334692864 is about 694.3026416061.

The spelling of 334692864 in words is "three hundred thirty-four million, six hundred ninety-two thousand, eight hundred sixty-four".