38039654016 has 192 divisors, whose sum is σ = 134724145920. Its totient is φ = 10032408576.

The previous prime is 38039653979. The next prime is 38039654021. The reversal of 38039654016 is 61045693083.

38039654016 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 96 + 540 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 76600 + ... + 286263.

It is an arithmetic number, because the mean of its divisors is an integer number (701688260).

Almost surely, 2^38039654016 is an apocalyptic number.

38039654016 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 38039654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67362072960).

38039654016 is an abundant number, since it is smaller than the sum of its proper divisors (96684491904).

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

38039654016 is a wasteful number, since it uses less digits than its factorization.

38039654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362903 (or 362888 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 38039654016 in words is "thirty-eight billion, thirty-nine million, six hundred fifty-four thousand, sixteen".