338775800 has 72 divisors (see below), whose sum is σ = 865830000. Its totient is φ = 123182400.

The previous prime is 338775799. The next prime is 338775839. The reversal of 338775800 is 8577833.

It is a super-2 number, since 2×338775800² = 229538085331280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17201 + ... + 31199.

Almost surely, 2^338775800 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 338775800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432915000).

338775800 is an abundant number, since it is smaller than the sum of its proper divisors (527054200).

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

338775800 is a wasteful number, since it uses less digits than its factorization.

338775800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14037 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 338775800 is about 18405.8631962753. The cubic root of 338775800 is about 697.1145165947.

The spelling of 338775800 in words is "three hundred thirty-eight million, seven hundred seventy-five thousand, eight hundred".