38653771968 has 224 divisors, whose sum is σ = 131436587520. Its totient is φ = 10910592000.

The previous prime is 38653771967. The next prime is 38653771991. The reversal of 38653771968 is 86917735683.

38653771968 is a `hidden beast` number, since 3 + 8 + 6 + 537 + 7 + 1 + 96 + 8 = 666.

38653771968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38653771968² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (38653771967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984718 + ... + 1023218.

It is an arithmetic number, because the mean of its divisors is an integer number (586770480).

Almost surely, 2^38653771968 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 38653771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718293760).

38653771968 is an abundant number, since it is smaller than the sum of its proper divisors (92782815552).

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

38653771968 is a wasteful number, since it uses less digits than its factorization.

38653771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38612 (or 38596 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 38653771968 in words is "thirty-eight billion, six hundred fifty-three million, seven hundred seventy-one thousand, nine hundred sixty-eight".