36744 has 16 divisors (see below), whose sum is σ = 91920. Its totient is φ = 12240.

The previous prime is 36739. The next prime is 36749. The reversal of 36744 is 44763.

It is an interprime number because it is at equal distance from previous prime (36739) and next prime (36749).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1531 = 36744 / (3 + 6 + 7 + 4 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36744.

It is not an unprimeable number, because it can be changed into a prime (36749) 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 3 ways as a sum of consecutive naturals, for example, 742 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (5745).

2³⁶⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

36744 is an abundant number, since it is smaller than the sum of its proper divisors (55176).

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 (45960).

36744 is a wasteful number, since it uses less digits than its factorization.

36744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1536 counting only the distinct ones).

The product of its digits is 2016, while the sum is 24.

The square root of 36744 is about 191.6872452721. The cubic root of 36744 is about 33.2451893468.

It can be divided in two parts, 36 and 744, that added together give a triangular number (780 = T₃₉).

The spelling of 36744 in words is "thirty-six thousand, seven hundred forty-four".