36363312 has 60 divisors (see below), whose sum is σ = 103313080. Its totient is φ = 11937024.

The previous prime is 36363307. The next prime is 36363317. The reversal of 36363312 is 21336363.

It is an interprime number because it is at equal distance from previous prime (36363307) and next prime (36363317).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36363317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7764 + ... + 11532.

Almost surely, 2^36363312 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 36363312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51656540).

36363312 is an abundant number, since it is smaller than the sum of its proper divisors (66949768).

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

36363312 is a wasteful number, since it uses less digits than its factorization.

36363312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3841 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 36363312 is about 6030.1999966834. The cubic root of 36363312 is about 331.2997774014.

Adding to 36363312 its reverse (21336363), we get a palindrome (57699675).

The spelling of 36363312 in words is "thirty-six million, three hundred sixty-three thousand, three hundred twelve".