9834835968 has 312 divisors, whose sum is σ = 30304209936. Its totient is φ = 3185049600.

The previous prime is 9834835957. The next prime is 9834835973. The reversal of 9834835968 is 8695384389.

9834835968 is a `hidden beast` number, since 9 + 8 + 34 + 8 + 3 + 596 + 8 = 666.

It is a super-4 number, since 4×9834835968⁴ (a number of 41 digits) contains 4444 as substring.

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, 40808328 + ... + 40808568.

It is an arithmetic number, because the mean of its divisors is an integer number (97128878).

Almost surely, 2^9834835968 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 9834835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152104968).

9834835968 is an abundant number, since it is smaller than the sum of its proper divisors (20469373968).

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

9834835968 is an equidigital number, since it uses as much as digits as its factorization.

9834835968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The square root of 9834835968 is about 99170.7414916315. The cubic root of 9834835968 is about 2142.5076122011.

The spelling of 9834835968 in words is "nine billion, eight hundred thirty-four million, eight hundred thirty-five thousand, nine hundred sixty-eight".