38180258928 has 320 divisors, whose sum is σ = 139598208000. Its totient is φ = 9726345216.

The previous prime is 38180258899. The next prime is 38180258971. The reversal of 38180258928 is 82985208183.

38180258928 is a `hidden beast` number, since 38 + 1 + 8 + 0 + 2 + 589 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957208 + ... + 996296.

It is an arithmetic number, because the mean of its divisors is an integer number (436244400).

Almost surely, 2^38180258928 is an apocalyptic number.

38180258928 is a gapful number since it is divisible by the number (38) 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 38180258928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69799104000).

38180258928 is an abundant number, since it is smaller than the sum of its proper divisors (101417949072).

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

38180258928 is a wasteful number, since it uses less digits than its factorization.

38180258928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39149 (or 39137 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 38180258928 in words is "thirty-eight billion, one hundred eighty million, two hundred fifty-eight thousand, nine hundred twenty-eight".