36306324 has 72 divisors (see below), whose sum is σ = 95565288. Its totient is φ = 11612160.

The previous prime is 36306323. The next prime is 36306329. The reversal of 36306324 is 42360363.

36306324 is a `hidden beast` number, since 3 + 630 + 6 + 3 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14516100 + 21790224 = 3810^2 + 4668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36306323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129064 + ... + 129344.

Almost surely, 2^36306324 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 36306324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47782644).

36306324 is an abundant number, since it is smaller than the sum of its proper divisors (59258964).

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

36306324 is a wasteful number, since it uses less digits than its factorization.

36306324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 36306324 is about 6025.4729274971. The cubic root of 36306324 is about 331.1266176777.

Adding to 36306324 its reverse (42360363), we get a palindrome (78666687).

The spelling of 36306324 in words is "thirty-six million, three hundred six thousand, three hundred twenty-four".