338573222400 has 360 divisors, whose sum is σ = 1301067686160. Its totient is φ = 77387735040.

The previous prime is 338573222399. The next prime is 338573222413. The reversal of 338573222400 is 4222375833.

It is a happy number.

It is a super-2 number, since 2×338573222400² (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 35 ways as a sum of consecutive naturals, for example, 1791631 + ... + 1971569.

It is an arithmetic number, because the mean of its divisors is an integer number (3614076906).

Almost surely, 2^338573222400 is an apocalyptic number.

338573222400 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 338573222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650533843080).

338573222400 is an abundant number, since it is smaller than the sum of its proper divisors (962494463760).

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

338573222400 is a wasteful number, since it uses less digits than its factorization.

338573222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179984 (or 179956 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 338573222400 in words is "three hundred thirty-eight billion, five hundred seventy-three million, two hundred twenty-two thousand, four hundred".