9735382998 has 96 divisors (see below), whose sum is σ = 23914275840. Its totient is φ = 2835241920.

The previous prime is 9735382997. The next prime is 9735383011. The reversal of 9735382998 is 8992835379.

9735382998 is a `hidden beast` number, since 9 + 7 + 3 + 538 + 2 + 9 + 98 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9735382997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276665 + ... + 1284267.

It is an arithmetic number, because the mean of its divisors is an integer number (249107040).

Almost surely, 2^9735382998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9735382998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11957137920).

9735382998 is an abundant number, since it is smaller than the sum of its proper divisors (14178892842).

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

9735382998 is a wasteful number, since it uses less digits than its factorization.

9735382998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7874 (or 7871 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 9735382998 is about 98668.0444622270. The cubic root of 9735382998 is about 2135.2612263845.

The spelling of 9735382998 in words is "nine billion, seven hundred thirty-five million, three hundred eighty-two thousand, nine hundred ninety-eight".