37990 has 16 divisors (see below), whose sum is σ = 71280. Its totient is φ = 14560.

The previous prime is 37987. The next prime is 37991. The reversal of 37990 is 9973.

37990 = T₃₆ + T₃₇ + ... + T₆₄.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37991) 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, 225 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2³⁷⁹⁹⁰ is an apocalyptic number.

37990 is a deficient number, since it is larger than the sum of its proper divisors (33290).

37990 is a wasteful number, since it uses less digits than its factorization.

37990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167.

The product of its (nonzero) digits is 1701, while the sum is 28.

The square root of 37990 is about 194.9102357497. The cubic root of 37990 is about 33.6168047080.

The spelling of 37990 in words is "thirty-seven thousand, nine hundred ninety".