338640775200 has 864 divisors, whose sum is σ = 1556205146496. Its totient is φ = 67244359680.

The previous prime is 338640775177. The next prime is 338640775237. The reversal of 338640775200 is 2577046833.

338640775200 is a `hidden beast` number, since 3 + 3 + 86 + 40 + 7 + 7 + 520 + 0 = 666.

It is a super-2 number, since 2×338640775200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11123199 + ... + 11153601.

It is an arithmetic number, because the mean of its divisors is an integer number (1801163364).

Almost surely, 2^338640775200 is an apocalyptic number.

338640775200 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 338640775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778102573248).

338640775200 is an abundant number, since it is smaller than the sum of its proper divisors (1217564371296).

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

338640775200 is a wasteful number, since it uses less digits than its factorization.

338640775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30466 (or 30450 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 338640775200 in words is "three hundred thirty-eight billion, six hundred forty million, seven hundred seventy-five thousand, two hundred".