37040 has 20 divisors (see below), whose sum is σ = 86304. Its totient is φ = 14784.

The previous prime is 37039. The next prime is 37049. The reversal of 37040 is 4073.

It is a tau number, because it is divible by the number of its divisors (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37040.

It is not an unprimeable number, because it can be changed into a prime (37049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 311.

2³⁷⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

37040 is an abundant number, since it is smaller than the sum of its proper divisors (49264).

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 (43152).

37040 is a wasteful number, since it uses less digits than its factorization.

37040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 37040 is about 192.4577875795. The cubic root of 37040 is about 33.3342221985.

The spelling of 37040 in words is "thirty-seven thousand, forty".