38087100474864 has 320 divisors, whose sum is σ = 121299029508096. Its totient is φ = 10050657103872.

The previous prime is 38087100474827. The next prime is 38087100474883. The reversal of 38087100474864 is 46847400178083.

It is a junction number, because it is equal to n+sod(n) for n = 38087100474798 and 38087100474807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100461949 + ... + 100840355.

Almost surely, 2^{38087100474864} is an apocalyptic number.

38087100474864 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 38087100474864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60649514754048).

38087100474864 is an abundant number, since it is smaller than the sum of its proper divisors (83211929033232).

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

38087100474864 is a wasteful number, since it uses less digits than its factorization.

38087100474864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378772 (or 378766 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 38087100474864 in words is "thirty-eight trillion, eighty-seven billion, one hundred million, four hundred seventy-four thousand, eight hundred sixty-four".