338224538400 has 432 divisors, whose sum is σ = 1284679962720. Its totient is φ = 77066035200.

The previous prime is 338224538383. The next prime is 338224538423. The reversal of 338224538400 is 4835422833.

It is a super-2 number, since 2×338224538400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38921256 + ... + 38929944.

It is an arithmetic number, because the mean of its divisors is an integer number (2973796210).

Almost surely, 2^338224538400 is an apocalyptic number.

338224538400 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 338224538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642339981360).

338224538400 is an abundant number, since it is smaller than the sum of its proper divisors (946455424320).

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

338224538400 is a wasteful number, since it uses less digits than its factorization.

338224538400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9057 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 338224538400 in words is "three hundred thirty-eight billion, two hundred twenty-four million, five hundred thirty-eight thousand, four hundred".