9488344320 has 864 divisors, whose sum is σ = 42278423040. Its totient is φ = 1997291520.

The previous prime is 9488344309. The next prime is 9488344321. The reversal of 9488344320 is 234438849.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9488344321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014505 + ... + 22014935.

It is an arithmetic number, because the mean of its divisors is an integer number (48933360).

Almost surely, 2^9488344320 is an apocalyptic number.

9488344320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9488344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139211520).

9488344320 is an abundant number, since it is smaller than the sum of its proper divisors (32790078720).

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

9488344320 is a wasteful number, since it uses less digits than its factorization.

9488344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9488344320 is about 97408.1327200147. The cubic root of 9488344320 is about 2117.0452726627.

The spelling of 9488344320 in words is "nine billion, four hundred eighty-eight million, three hundred forty-four thousand, three hundred twenty".