37940 has 24 divisors (see below), whose sum is σ = 91392. Its totient is φ = 12960.

The previous prime is 37907. The next prime is 37951. The reversal of 37940 is 4973.

37940 = T₂₂ + T₂₃ + ... + T₆₁.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37940.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (3808).

2³⁷⁹⁴⁰ 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 37940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696).

37940 is an abundant number, since it is smaller than the sum of its proper divisors (53452).

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

37940 is a wasteful number, since it uses less digits than its factorization.

37940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 37940 is about 194.7819293466. The cubic root of 37940 is about 33.6020501395.

The spelling of 37940 in words is "thirty-seven thousand, nine hundred forty".