9638093880 has 256 divisors, whose sum is σ = 33631718400. Its totient is φ = 2450511360.

The previous prime is 9638093863. The next prime is 9638093887. The reversal of 9638093880 is 883908369.

9638093880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9638093887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14580750 + ... + 14581410.

It is an arithmetic number, because the mean of its divisors is an integer number (131373900).

Almost surely, 2^9638093880 is an apocalyptic number.

9638093880 is a gapful number since it is divisible by the number (90) 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 9638093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815859200).

9638093880 is an abundant number, since it is smaller than the sum of its proper divisors (23993624520).

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

9638093880 is a wasteful number, since it uses less digits than its factorization.

9638093880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9638093880 is about 98173.7942630313. The cubic root of 9638093880 is about 2128.1245940343.

The spelling of 9638093880 in words is "nine billion, six hundred thirty-eight million, ninety-three thousand, eight hundred eighty".