36740 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 13280.

The previous prime is 36739. The next prime is 36749. The reversal of 36740 is 4763.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 137 + ... + 303.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁶⁷⁴⁰ 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 36740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

36740 is an abundant number, since it is smaller than the sum of its proper divisors (47932).

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

36740 is a wasteful number, since it uses less digits than its factorization.

36740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 36740 is about 191.6768113257. The cubic root of 36740 is about 33.2439829314.

The spelling of 36740 in words is "thirty-six thousand, seven hundred forty".