338815200 has 144 divisors (see below), whose sum is σ = 1117428480. Its totient is φ = 89157120.

The previous prime is 338815199. The next prime is 338815237. The reversal of 338815200 is 2518833.

It is a happy number.

It is a super-2 number, since 2×338815200² = 229591479502080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188707 + ... + 190493.

It is an arithmetic number, because the mean of its divisors is an integer number (7759920).

Almost surely, 2^338815200 is an apocalyptic number.

338815200 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 338815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558714240).

338815200 is an abundant number, since it is smaller than the sum of its proper divisors (778613280).

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

338815200 is a wasteful number, since it uses less digits than its factorization.

338815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 338815200 is about 18406.9334762746. The cubic root of 338815200 is about 697.1415406100.

The spelling of 338815200 in words is "three hundred thirty-eight million, eight hundred fifteen thousand, two hundred".