38985504768 has 864 divisors, whose sum is σ = 145385210880. Its totient is φ = 10212065280.

The previous prime is 38985504757. The next prime is 38985504773. The reversal of 38985504768 is 86740558983.

38985504768 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 550 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1257596913 + ... + 1257596943.

It is an arithmetic number, because the mean of its divisors is an integer number (168269920).

Almost surely, 2^38985504768 is an apocalyptic number.

38985504768 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 38985504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72692605440).

38985504768 is an abundant number, since it is smaller than the sum of its proper divisors (106399706112).

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

38985504768 is an equidigital number, since it uses as much as digits as its factorization.

38985504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 38985504768 in words is "thirty-eight billion, nine hundred eighty-five million, five hundred four thousand, seven hundred sixty-eight".