9835345920 has 384 divisors, whose sum is σ = 34283995200. Its totient is φ = 2397044736.

The previous prime is 9835345909. The next prime is 9835345921. The reversal of 9835345920 is 295435389.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9835345920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9835345921) 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 31 ways as a sum of consecutive naturals, for example, 19322626 + ... + 19323134.

Almost surely, 2^9835345920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9835345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141997600).

9835345920 is an abundant number, since it is smaller than the sum of its proper divisors (24448649280).

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

9835345920 is a wasteful number, since it uses less digits than its factorization.

9835345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 9835345920 is about 99173.3125392109. The cubic root of 9835345920 is about 2142.5446423784.

The spelling of 9835345920 in words is "nine billion, eight hundred thirty-five million, three hundred forty-five thousand, nine hundred twenty".