38608516128 has 768 divisors, whose sum is σ = 140460687360. Its totient is φ = 8992456704.

The previous prime is 38608516127. The next prime is 38608516129. The reversal of 38608516128 is 82161580683.

38608516128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38608516127) and next prime (38608516129).

It is a super-2 number, since 2×38608516128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38608516127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304004001 + ... + 304004127.

It is an arithmetic number, because the mean of its divisors is an integer number (182891520).

Almost surely, 2^38608516128 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 38608516128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70230343680).

38608516128 is an abundant number, since it is smaller than the sum of its proper divisors (101852171232).

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

38608516128 is a wasteful number, since it uses less digits than its factorization.

38608516128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 38608516128 in words is "thirty-eight billion, six hundred eight million, five hundred sixteen thousand, one hundred twenty-eight".