9309480336 has 200 divisors, whose sum is σ = 29726915064. Its totient is φ = 2794383360.

The previous prime is 9309480287. The next prime is 9309480337. The reversal of 9309480336 is 6330849039.

9309480336 is a `hidden beast` number, since 9 + 309 + 4 + 8 + 0 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 9308390400 = 1044^2 + 96480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9309480291 and 9309480300.

It is not an unprimeable number, because it can be changed into a prime (9309480337) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 684030 + ... + 697506.

Almost surely, 2^9309480336 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 9309480336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863457532).

9309480336 is an abundant number, since it is smaller than the sum of its proper divisors (20417434728).

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

9309480336 is a wasteful number, since it uses less digits than its factorization.

9309480336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9309480336 is about 96485.6483421239. The cubic root of 9309480336 is about 2103.6580487325.

The spelling of 9309480336 in words is "nine billion, three hundred nine million, four hundred eighty thousand, three hundred thirty-six".