338746800 has 240 divisors, whose sum is σ = 1266982400. Its totient is φ = 77333760.

The previous prime is 338746799. The next prime is 338746831. The reversal of 338746800 is 8647833.

338746800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338746800² = 229498789020480000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 411189 + ... + 412011.

Almost surely, 2^338746800 is an apocalyptic number.

338746800 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 338746800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633491200).

338746800 is an abundant number, since it is smaller than the sum of its proper divisors (928235600).

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

338746800 is a wasteful number, since it uses less digits than its factorization.

338746800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 338746800 is about 18405.0753869687. The cubic root of 338746800 is about 697.0946244833.

The spelling of 338746800 in words is "three hundred thirty-eight million, seven hundred forty-six thousand, eight hundred".