338216200 has 96 divisors (see below), whose sum is σ = 927797760. Its totient is φ = 112204800.

The previous prime is 338216191. The next prime is 338216213. The reversal of 338216200 is 2612833.

It is a super-2 number, since 2×338216200² = 228780395884880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 39504 + ... + 47296.

It is an arithmetic number, because the mean of its divisors is an integer number (9664560).

Almost surely, 2^338216200 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 338216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463898880).

338216200 is an abundant number, since it is smaller than the sum of its proper divisors (589581560).

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

338216200 is a wasteful number, since it uses less digits than its factorization.

338216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7847 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 338216200 is about 18390.6552357440. The cubic root of 338216200 is about 696.7304668518.

The spelling of 338216200 in words is "three hundred thirty-eight million, two hundred sixteen thousand, two hundred".