338032800 has 432 divisors, whose sum is σ = 1438032960. Its totient is φ = 72990720.

The previous prime is 338032727. The next prime is 338032829. The reversal of 338032800 is 8230833.

338032800 is a `hidden beast` number, since 3 + 380 + 3 + 280 + 0 = 666.

It is a super-2 number, since 2×338032800² = 228532347751680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957424 + ... + 957776.

It is an arithmetic number, because the mean of its divisors is an integer number (3328780).

Almost surely, 2^338032800 is an apocalyptic number.

338032800 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 338032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719016480).

338032800 is an abundant number, since it is smaller than the sum of its proper divisors (1100000160).

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

338032800 is a wasteful number, since it uses less digits than its factorization.

338032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338032800 is about 18385.6683316109. The cubic root of 338032800 is about 696.6045084942.

The spelling of 338032800 in words is "three hundred thirty-eight million, thirty-two thousand, eight hundred".