38686093128 has 320 divisors, whose sum is σ = 115029066240. Its totient is φ = 12130560000.

The previous prime is 38686093123. The next prime is 38686093139. The reversal of 38686093128 is 82139068683.

It is a happy number.

38686093128 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 609 + 3 + 1 + 28 = 666.

38686093128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38686093128² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38686093123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 160523088 + ... + 160523328.

It is an arithmetic number, because the mean of its divisors is an integer number (359465832).

Almost surely, 2^38686093128 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 38686093128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57514533120).

38686093128 is an abundant number, since it is smaller than the sum of its proper divisors (76342973112).

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

38686093128 is a wasteful number, since it uses less digits than its factorization.

38686093128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38686093128 in words is "thirty-eight billion, six hundred eighty-six million, ninety-three thousand, one hundred twenty-eight".