336830400 has 420 divisors, whose sum is σ = 1303367472. Its totient is φ = 85155840.

The previous prime is 336830399. The next prime is 336830411. The reversal of 336830400 is 4038633.

It is a super-2 number, since 2×336830400² = 226909436728320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980744 + ... + 2980856.

Almost surely, 2^336830400 is an apocalyptic number.

336830400 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 336830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651683736).

336830400 is an abundant number, since it is smaller than the sum of its proper divisors (966537072).

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

336830400 is a wasteful number, since it uses less digits than its factorization.

336830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 336830400 is about 18352.9398190045. The cubic root of 336830400 is about 695.7775745855. Note that the first 3 decimals are identical.

The spelling of 336830400 in words is "three hundred thirty-six million, eight hundred thirty thousand, four hundred".