38679199413984 has 432 divisors, whose sum is σ = 117401107824000. Its totient is φ = 12077027278848.

The previous prime is 38679199413977. The next prime is 38679199414003. The reversal of 38679199413984 is 48931499197683.

38679199413984 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 9 + 199 + 413 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21989310897 + ... + 21989312655.

Almost surely, 2^{38679199413984} is an apocalyptic number.

38679199413984 is a gapful number since it is divisible by the number (34) 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 38679199413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700553912000).

38679199413984 is an abundant number, since it is smaller than the sum of its proper divisors (78721908410016).

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

38679199413984 is a wasteful number, since it uses less digits than its factorization.

38679199413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2887 counting only the distinct ones).

The product of its digits is 2539579392, while the sum is 81.

The spelling of 38679199413984 in words is "thirty-eight trillion, six hundred seventy-nine billion, one hundred ninety-nine million, four hundred thirteen thousand, nine hundred eighty-four".