38180947968 has 240 divisors, whose sum is σ = 119013935040. Its totient is φ = 12172419072.

The previous prime is 38180947957. The next prime is 38180948017. The reversal of 38180947968 is 86974908183.

38180947968 is a `hidden beast` number, since 3 + 81 + 80 + 9 + 479 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3810421 + ... + 3820427.

It is an arithmetic number, because the mean of its divisors is an integer number (495891396).

Almost surely, 2^38180947968 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 38180947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59506967520).

38180947968 is an abundant number, since it is smaller than the sum of its proper divisors (80832987072).

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

38180947968 is a wasteful number, since it uses less digits than its factorization.

38180947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 38180947968 in words is "thirty-eight billion, one hundred eighty million, nine hundred forty-seven thousand, nine hundred sixty-eight".