9274609344 has 672 divisors, whose sum is σ = 34324674048. Its totient is φ = 2149171200.

The previous prime is 9274609297. The next prime is 9274609349. The reversal of 9274609344 is 4439064729.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9274609344² (a number of 21 digits) contains 22 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 = 9274609293 and 9274609302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9274609349) 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, 86678539 + ... + 86678645.

It is an arithmetic number, because the mean of its divisors is an integer number (51078384).

Almost surely, 2^9274609344 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 9274609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162337024).

9274609344 is an abundant number, since it is smaller than the sum of its proper divisors (25050064704).

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

9274609344 is a wasteful number, since it uses less digits than its factorization.

9274609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 9274609344 is about 96304.7732150385. The cubic root of 9274609344 is about 2101.0281695372.

The spelling of 9274609344 in words is "nine billion, two hundred seventy-four million, six hundred nine thousand, three hundred forty-four".