37344 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 12416.

The previous prime is 37339. The next prime is 37357. The reversal of 37344 is 44373.

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 37344.

It is a congruent number.

It is an unprimeable number.

37344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2³⁷³⁴⁴ is an apocalyptic number.

It is an amenable number.

37344 is an abundant number, since it is smaller than the sum of its proper divisors (60936).

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 (49140).

37344 is a wasteful number, since it uses less digits than its factorization.

37344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 394 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 37344 is about 193.2459572669. The cubic root of 37344 is about 33.4251689763.

The spelling of 37344 in words is "thirty-seven thousand, three hundred forty-four".