338930028200 has 72 divisors (see below), whose sum is σ = 795443521950. Its totient is φ = 134294163840.

The previous prime is 338930028181. The next prime is 338930028263. The reversal of 338930028200 is 2820039833.

It can be written as a sum of positive squares in 3 ways, for example, as 279166403044 + 59763625156 = 528362^2 + 244466^2 .

It is a super-2 number, since 2×338930028200² (a number of 24 digits) contains 22 as substring.

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, 85955429 + ... + 85959371.

Almost surely, 2^338930028200 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 338930028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397721760975).

338930028200 is an abundant number, since it is smaller than the sum of its proper divisors (456513493750).

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

338930028200 is an equidigital number, since it uses as much as digits as its factorization.

338930028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 338930028200 in words is "three hundred thirty-eight billion, nine hundred thirty million, twenty-eight thousand, two hundred".