338894766038400 has 3456 divisors, whose sum is σ = 1431700746537600. Its totient is φ = 70141162291200.

The previous prime is 338894766038341. The next prime is 338894766038447. The reversal of 338894766038400 is 4830667498833.

It is a super-2 number, since 2×338894766038400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 160385595744 + ... + 160385597856.

Almost surely, 2^{338894766038400} is an apocalyptic number.

338894766038400 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 338894766038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715850373268800).

338894766038400 is an abundant number, since it is smaller than the sum of its proper divisors (1092805980499200).

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

338894766038400 is a wasteful number, since it uses less digits than its factorization.

338894766038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 69.

The spelling of 338894766038400 in words is "three hundred thirty-eight trillion, eight hundred ninety-four billion, seven hundred sixty-six million, thirty-eight thousand, four hundred".