38616809616 has 1120 divisors, whose sum is σ = 154051092480. Its totient is φ = 9069926400.

The previous prime is 38616809599. The next prime is 38616809657. The reversal of 38616809616 is 61690861683.

38616809616 is a `hidden beast` number, since 3 + 8 + 6 + 16 + 8 + 0 + 9 + 616 = 666.

38616809616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 528997356 + ... + 528997428.

Almost surely, 2^38616809616 is an apocalyptic number.

38616809616 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 38616809616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77025546240).

38616809616 is an abundant number, since it is smaller than the sum of its proper divisors (115434282864).

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

38616809616 is a wasteful number, since it uses less digits than its factorization.

38616809616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 38616809616 in words is "thirty-eight billion, six hundred sixteen million, eight hundred nine thousand, six hundred sixteen".