38479864958208 has 216 divisors, whose sum is σ = 117274926787200. Its totient is φ = 12100689764352.

The previous prime is 38479864958111. The next prime is 38479864958243. The reversal of 38479864958208 is 80285946897483.

38479864958208 is a `hidden beast` number, since 3 + 8 + 47 + 9 + 8 + 6 + 495 + 82 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8623516 + ... + 12301412.

Almost surely, 2^{38479864958208} is an apocalyptic number.

38479864958208 is a gapful number since it is divisible by the number (38) 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 38479864958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58637463393600).

38479864958208 is an abundant number, since it is smaller than the sum of its proper divisors (78795061828992).

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

38479864958208 is a wasteful number, since it uses less digits than its factorization.

38479864958208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678177 (or 3678160 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 38479864958208 in words is "thirty-eight trillion, four hundred seventy-nine billion, eight hundred sixty-four million, nine hundred fifty-eight thousand, two hundred eight".