38315137608 has 384 divisors, whose sum is σ = 123125184000. Its totient is φ = 10634434560.

The previous prime is 38315137603. The next prime is 38315137613. The reversal of 38315137608 is 80673151383.

38315137608 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 5 + 1 + 37 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (38315137603) and next prime (38315137613).

It is not an unprimeable number, because it can be changed into a prime (38315137603) 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, 110418091 + ... + 110418437.

It is an arithmetic number, because the mean of its divisors is an integer number (320638500).

Almost surely, 2^38315137608 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 38315137608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562592000).

38315137608 is an abundant number, since it is smaller than the sum of its proper divisors (84810046392).

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

38315137608 is a wasteful number, since it uses less digits than its factorization.

38315137608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38315137608 in words is "thirty-eight billion, three hundred fifteen million, one hundred thirty-seven thousand, six hundred eight".