338425908800 has 504 divisors, whose sum is σ = 1058894512128. Its totient is φ = 105670656000.

The previous prime is 338425908773. The next prime is 338425908823. The reversal of 338425908800 is 8809524833.

It is a super-2 number, since 2×338425908800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41312705 + ... + 41320895.

Almost surely, 2^338425908800 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 338425908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529447256064).

338425908800 is an abundant number, since it is smaller than the sum of its proper divisors (720468603328).

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

338425908800 is a wasteful number, since it uses less digits than its factorization.

338425908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 338425908800 in words is "three hundred thirty-eight billion, four hundred twenty-five million, nine hundred eight thousand, eight hundred".