37938 has 8 divisors (see below), whose sum is σ = 75888. Its totient is φ = 12644.

The previous prime is 37907. The next prime is 37951. The reversal of 37938 is 83973.

It is a sphenic number, since it is the product of 3 distinct primes.

37938 is an admirable number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3156 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (9486).

2³⁷⁹³⁸ is an apocalyptic number.

37938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (37944).

37938 is a wasteful number, since it uses less digits than its factorization.

37938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328.

The product of its digits is 4536, while the sum is 30.

The square root of 37938 is about 194.7767953325. The cubic root of 37938 is about 33.6014596872.

The spelling of 37938 in words is "thirty-seven thousand, nine hundred thirty-eight".