9726346224 has 240 divisors, whose sum is σ = 32423639040. Its totient is φ = 2663262720.

The previous prime is 9726346219. The next prime is 9726346229. The reversal of 9726346224 is 4226436279.

9726346224 is a `hidden beast` number, since 9 + 7 + 2 + 634 + 6 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9726346219) and next prime (9726346229).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9726346224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9726346229) 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, 3342082 + ... + 3344990.

It is an arithmetic number, because the mean of its divisors is an integer number (135098496).

Almost surely, 2^9726346224 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 9726346224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211819520).

9726346224 is an abundant number, since it is smaller than the sum of its proper divisors (22697292816).

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

9726346224 is a wasteful number, since it uses less digits than its factorization.

9726346224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 9726346224 is about 98622.2400070086. The cubic root of 9726346224 is about 2134.6003434102.

The spelling of 9726346224 in words is "nine billion, seven hundred twenty-six million, three hundred forty-six thousand, two hundred twenty-four".