338804071816320 has 320 divisors, whose sum is σ = 1319924198672640. Its totient is φ = 82134320302080.

The previous prime is 338804071816319. The next prime is 338804071816417. The reversal of 338804071816320 is 23618170408833.

It is a happy number.

338804071816320 is a `hidden beast` number, since 3 + 3 + 8 + 80 + 407 + 1 + 81 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×338804071816320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 296501232 + ... + 297641711.

It is an arithmetic number, because the mean of its divisors is an integer number (4124763120852).

Almost surely, 2^{338804071816320} is an apocalyptic number.

338804071816320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338804071816320 is an abundant number, since it is smaller than the sum of its proper divisors (981120126856320).

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

338804071816320 is a wasteful number, since it uses less digits than its factorization.

338804071816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594142985 (or 594142964 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 338804071816320 in words is "three hundred thirty-eight trillion, eight hundred four billion, seventy-one million, eight hundred sixteen thousand, three hundred twenty".