38561879049984 has 216 divisors, whose sum is σ = 115345853262640. Its totient is φ = 12848993722368.

The previous prime is 38561879049851. The next prime is 38561879050043. The reversal of 38561879049984 is 48994097816583.

38561879049984 is a `hidden beast` number, since 3 + 8 + 56 + 1 + 8 + 79 + 0 + 499 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 162679902 + ... + 162916770.

Almost surely, 2^{38561879049984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38561879049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57672926631320).

38561879049984 is an abundant number, since it is smaller than the sum of its proper divisors (76783974212656).

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

38561879049984 is an equidigital number, since it uses as much as digits as its factorization.

38561879049984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239517 (or 239491 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 38561879049984 in words is "thirty-eight trillion, five hundred sixty-one billion, eight hundred seventy-nine million, forty-nine thousand, nine hundred eighty-four".