38659286016 has 1056 divisors, whose sum is σ = 142703084160. Its totient is φ = 10319560704.

The previous prime is 38659286011. The next prime is 38659286051. The reversal of 38659286016 is 61068295683.

It is a happy number.

38659286016 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 9 + 28 + 601 + 6 = 666.

It is a super-3 number, since 3×38659286016³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38659286011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044845550 + ... + 1044845586.

Almost surely, 2^38659286016 is an apocalyptic number.

38659286016 is a gapful number since it is divisible by the number (36) 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 38659286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71351542080).

38659286016 is an abundant number, since it is smaller than the sum of its proper divisors (104043798144).

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

38659286016 is a wasteful number, since it uses less digits than its factorization.

38659286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 38659286016 in words is "thirty-eight billion, six hundred fifty-nine million, two hundred eighty-six thousand, sixteen".