36309312 has 126 divisors (see below), whose sum is σ = 112997742. Its totient is φ = 11142144.

The previous prime is 36309311. The next prime is 36309349. The reversal of 36309312 is 21390363.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 36288576 = 144^2 + 6024^2 .

It is a super-2 number, since 2×36309312² = 2636732275826688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36309311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97158 + ... + 97530.

Almost surely, 2^36309312 is an apocalyptic number.

36309312 is a gapful number since it is divisible by the number (32) 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 36309312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56498871).

36309312 is an abundant number, since it is smaller than the sum of its proper divisors (76688430).

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

36309312 is a wasteful number, since it uses less digits than its factorization.

36309312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 36309312 is about 6025.7208697383. The cubic root of 36309312 is about 331.1357013036.

Adding to 36309312 its reverse (21390363), we get a palindrome (57699675).

The spelling of 36309312 in words is "thirty-six million, three hundred nine thousand, three hundred twelve".