9905838336 has 108 divisors (see below), whose sum is σ = 28767378640. Its totient is φ = 3278085120.

The previous prime is 9905838331. The next prime is 9905838337. The reversal of 9905838336 is 6338385099.

It is not an unprimeable number, because it can be changed into a prime (9905838331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304791 + ... + 335721.

Almost surely, 2^9905838336 is an apocalyptic number.

9905838336 is a gapful number since it is divisible by the number (96) 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 9905838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383689320).

9905838336 is an abundant number, since it is smaller than the sum of its proper divisors (18861540304).

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

9905838336 is a wasteful number, since it uses less digits than its factorization.

9905838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31092 (or 31075 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 9905838336 is about 99528.0781287371. The cubic root of 9905838336 is about 2147.6511818751.

It can be divided in two parts, 9905 and 838336, that added together give a square (848241 = 921²).

The spelling of 9905838336 in words is "nine billion, nine hundred five million, eight hundred thirty-eight thousand, three hundred thirty-six".