338148200 has 48 divisors (see below), whose sum is σ = 846677580. Its totient is φ = 124853760.

The previous prime is 338148179. The next prime is 338148211. The reversal of 338148200 is 2841833.

It is a happy number.

338148200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 69122596 + 269025604 = 8314^2 + 16402^2 .

It is a super-2 number, since 2×338148200² = 228688410326480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62429 + ... + 67628.

Almost surely, 2^338148200 is an apocalyptic number.

It is an amenable number.

338148200 is an abundant number, since it is smaller than the sum of its proper divisors (508529380).

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

338148200 is a wasteful number, since it uses less digits than its factorization.

338148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130086 (or 130077 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 338148200 is about 18388.8063777941. The cubic root of 338148200 is about 696.6837700473.

The spelling of 338148200 in words is "three hundred thirty-eight million, one hundred forty-eight thousand, two hundred".