338131200 has 216 divisors, whose sum is σ = 1218109536. Its totient is φ = 81920000.

The previous prime is 338131169. The next prime is 338131217. The reversal of 338131200 is 2131833.

It is a happy number.

It is a super-2 number, since 2×338131200² = 228665416826880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210400 + ... + 212000.

It is an arithmetic number, because the mean of its divisors is an integer number (5639396).

Almost surely, 2^338131200 is an apocalyptic number.

338131200 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 338131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609054768).

338131200 is an abundant number, since it is smaller than the sum of its proper divisors (879978336).

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

338131200 is a wasteful number, since it uses less digits than its factorization.

338131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 338131200 is about 18388.3441342607. The cubic root of 338131200 is about 696.6720948680.

The spelling of 338131200 in words is "three hundred thirty-eight million, one hundred thirty-one thousand, two hundred".