9380008638 has 384 divisors, whose sum is σ = 29255675904. Its totient is φ = 2090188800.

The previous prime is 9380008607. The next prime is 9380008669. The reversal of 9380008638 is 8368000839.

9380008638 is a `hidden beast` number, since 9 + 3 + 8 + 0 + 0 + 0 + 8 + 638 = 666.

It is an interprime number because it is at equal distance from previous prime (9380008607) and next prime (9380008669).

It is a junction number, because it is equal to n+sod(n) for n = 9380008593 and 9380008602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34612443 + ... + 34612713.

It is an arithmetic number, because the mean of its divisors is an integer number (76186656).

Almost surely, 2^9380008638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9380008638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627837952).

9380008638 is an abundant number, since it is smaller than the sum of its proper divisors (19875667266).

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

9380008638 is a wasteful number, since it uses less digits than its factorization.

9380008638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9380008638 is about 96850.4446969656. Note that the first 3 decimals coincide. The cubic root of 9380008638 is about 2108.9571029709.

The spelling of 9380008638 in words is "nine billion, three hundred eighty million, eight thousand, six hundred thirty-eight".