36396 has 24 divisors (see below), whose sum is σ = 94640. Its totient is φ = 12096.

The previous prime is 36389. The next prime is 36433. The reversal of 36396 is 69363.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36396.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 61 + ... + 276.

2³⁶³⁹⁶ is an apocalyptic number.

36396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36396 is an abundant number, since it is smaller than the sum of its proper divisors (58244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47320).

36396 is a wasteful number, since it uses less digits than its factorization.

36396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

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

The square root of 36396 is about 190.7773571470. Note that the first 3 decimals coincide. The cubic root of 36396 is about 33.1399019221.

The spelling of 36396 in words is "thirty-six thousand, three hundred ninety-six".