38456173980 has 288 divisors, whose sum is σ = 139323824640. Its totient is φ = 8721872640.

The previous prime is 38456173969. The next prime is 38456174051. The reversal of 38456173980 is 8937165483.

38456173980 is a `hidden beast` number, since 3 + 8 + 4 + 561 + 73 + 9 + 8 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4452306 + ... + 4460934.

It is an arithmetic number, because the mean of its divisors is an integer number (483763280).

Almost surely, 2^38456173980 is an apocalyptic number.

38456173980 is a gapful number since it is divisible by the number (30) 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 38456173980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69661912320).

38456173980 is an abundant number, since it is smaller than the sum of its proper divisors (100867650660).

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

38456173980 is a wasteful number, since it uses less digits than its factorization.

38456173980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8777 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 38456173980 in words is "thirty-eight billion, four hundred fifty-six million, one hundred seventy-three thousand, nine hundred eighty".