336385728 has 168 divisors, whose sum is σ = 1160190720. Its totient is φ = 91031040.

The previous prime is 336385711. The next prime is 336385799. The reversal of 336385728 is 827583633.

336385728 is a `hidden beast` number, since 3 + 3 + 638 + 5 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×336385728² = 226310716004179968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74413 + ... + 78803.

Almost surely, 2^336385728 is an apocalyptic number.

336385728 is a gapful number since it is divisible by the number (38) 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 336385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580095360).

336385728 is an abundant number, since it is smaller than the sum of its proper divisors (823804992).

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

336385728 is a wasteful number, since it uses less digits than its factorization.

336385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435 (or 4422 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 336385728 is about 18340.8213556536. The cubic root of 336385728 is about 695.4712591465.

The spelling of 336385728 in words is "three hundred thirty-six million, three hundred eighty-five thousand, seven hundred twenty-eight".