9762346984 has 96 divisors (see below), whose sum is σ = 21275604000. Its totient is φ = 4163028480.

The previous prime is 9762346981. The next prime is 9762347011. The reversal of 9762346984 is 4896432679.

It is a happy number.

9762346984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9762346981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320187 + ... + 3323125.

It is an arithmetic number, because the mean of its divisors is an integer number (221620875).

Almost surely, 2^9762346984 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 9762346984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10637802000).

9762346984 is an abundant number, since it is smaller than the sum of its proper divisors (11513257016).

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

9762346984 is a wasteful number, since it uses less digits than its factorization.

9762346984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3014 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The square root of 9762346984 is about 98804.5898933850. The cubic root of 9762346984 is about 2137.2307458981.

The spelling of 9762346984 in words is "nine billion, seven hundred sixty-two million, three hundred forty-six thousand, nine hundred eighty-four".