336704000 has 80 divisors (see below), whose sum is σ = 839752056. Its totient is φ = 134656000.

The previous prime is 336703993. The next prime is 336704021. The reversal of 336704000 is 407633.

It can be written as a sum of positive squares in 4 ways, for example, as 139806976 + 196897024 = 11824^2 + 14032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×336704000² = 226739167232000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61370 + ... + 66630.

Almost surely, 2^336704000 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 336704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419876028).

336704000 is an abundant number, since it is smaller than the sum of its proper divisors (503048056).

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

336704000 is an frugal number, since it uses more digits than its factorization.

336704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 336704000 is about 18349.4959058825. The cubic root of 336704000 is about 695.6905304938.

The spelling of 336704000 in words is "three hundred thirty-six million, seven hundred four thousand".