338678356800 has 504 divisors, whose sum is σ = 1304099942976. Its totient is φ = 76721111040.

The previous prime is 338678356727. The next prime is 338678356801. The reversal of 338678356800 is 8653876833.

It is a happy number.

338678356800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338678356800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338678356801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26571229 + ... + 26583971.

Almost surely, 2^338678356800 is an apocalyptic number.

338678356800 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 338678356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652049971488).

338678356800 is an abundant number, since it is smaller than the sum of its proper divisors (965421586176).

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

338678356800 is a wasteful number, since it uses less digits than its factorization.

338678356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12895 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 338678356800 in words is "three hundred thirty-eight billion, six hundred seventy-eight million, three hundred fifty-six thousand, eight hundred".