38588368896 has 1152 divisors, whose sum is σ = 154543334400. Its totient is φ = 9316270080.

The previous prime is 38588368891. The next prime is 38588368913. The reversal of 38588368896 is 69886388583.

38588368896 is a `hidden beast` number, since 3 + 8 + 588 + 36 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38588368891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 728082406 + ... + 728082458.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 2^38588368896 is an apocalyptic number.

38588368896 is a gapful number since it is divisible by the number (36) 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 38588368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77271667200).

38588368896 is an abundant number, since it is smaller than the sum of its proper divisors (115954965504).

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

38588368896 is a wasteful number, since it uses less digits than its factorization.

38588368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 38588368896 in words is "thirty-eight billion, five hundred eighty-eight million, three hundred sixty-eight thousand, eight hundred ninety-six".