9309961344 has 128 divisors (see below), whose sum is σ = 26292988800. Its totient is φ = 2912239616.

The previous prime is 9309961327. The next prime is 9309961361. The reversal of 9309961344 is 4431699039.

It is an interprime number because it is at equal distance from previous prime (9309961327) and next prime (9309961361).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×9309961344³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 9309961293 and 9309961302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458152 + ... + 478040.

It is an arithmetic number, because the mean of its divisors is an integer number (205413975).

Almost surely, 2^9309961344 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 9309961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146494400).

9309961344 is an abundant number, since it is smaller than the sum of its proper divisors (16983027456).

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

9309961344 is a wasteful number, since it uses less digits than its factorization.

9309961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19982 (or 19970 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The square root of 9309961344 is about 96488.1409500670. The cubic root of 9309961344 is about 2103.6942791445.

The spelling of 9309961344 in words is "nine billion, three hundred nine million, nine hundred sixty-one thousand, three hundred forty-four".