338377256400 has 240 divisors, whose sum is σ = 1091130163200. Its totient is φ = 89636851200.

The previous prime is 338377256387. The next prime is 338377256417. The reversal of 338377256400 is 4652773833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338377256400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 338377256400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160291345 + ... + 160293455.

It is an arithmetic number, because the mean of its divisors is an integer number (4546375680).

Almost surely, 2^338377256400 is an apocalyptic number.

338377256400 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 338377256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545565081600).

338377256400 is an abundant number, since it is smaller than the sum of its proper divisors (752752906800).

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

338377256400 is a wasteful number, since it uses less digits than its factorization.

338377256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 338377256400 in words is "three hundred thirty-eight billion, three hundred seventy-seven million, two hundred fifty-six thousand, four hundred".