36408 has 32 divisors (see below), whose sum is σ = 95760. Its totient is φ = 11520.

The previous prime is 36389. The next prime is 36433. The reversal of 36408 is 80463.

It is a congruent number.

It is an unprimeable number.

36408 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 868 + ... + 908.

2³⁶⁴⁰⁸ 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 36408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

36408 is an abundant number, since it is smaller than the sum of its proper divisors (59352).

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

36408 is a wasteful number, since it uses less digits than its factorization.

36408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 36408 is about 190.8088048283. The cubic root of 36408 is about 33.1435436696.

It can be divided in two parts, 36 and 408, that added together give a palindrome (444).

The spelling of 36408 in words is "thirty-six thousand, four hundred eight".