38624168880 has 240 divisors, whose sum is σ = 142541796384. Its totient is φ = 9294827520.

The previous prime is 38624168831. The next prime is 38624168881. The reversal of 38624168880 is 8886142683.

38624168880 is a `hidden beast` number, since 3 + 8 + 624 + 1 + 6 + 8 + 8 + 8 + 0 = 666.

38624168880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (38624168881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1067242 + ... + 1102838.

Almost surely, 2^38624168880 is an apocalyptic number.

38624168880 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 38624168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71270898192).

38624168880 is an abundant number, since it is smaller than the sum of its proper divisors (103917627504).

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

38624168880 is a wasteful number, since it uses less digits than its factorization.

38624168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35764 (or 35755 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 38624168880 in words is "thirty-eight billion, six hundred twenty-four million, one hundred sixty-eight thousand, eight hundred eighty".