9837349920 has 144 divisors (see below), whose sum is σ = 33776713152. Its totient is φ = 2607137280.

The previous prime is 9837349919. The next prime is 9837349933. The reversal of 9837349920 is 299437389.

9837349920 is a `hidden beast` number, since 9 + 83 + 73 + 499 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213765 + ... + 255675.

It is an arithmetic number, because the mean of its divisors is an integer number (234560508).

Almost surely, 2^9837349920 is an apocalyptic number.

9837349920 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 9837349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888356576).

9837349920 is an abundant number, since it is smaller than the sum of its proper divisors (23939363232).

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

9837349920 is a wasteful number, since it uses less digits than its factorization.

9837349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42095 (or 42084 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9837349920 is about 99183.4155491733. The cubic root of 9837349920 is about 2142.6901504914.

The spelling of 9837349920 in words is "nine billion, eight hundred thirty-seven million, three hundred forty-nine thousand, nine hundred twenty".