3790 has 8 divisors (see below), whose sum is σ = 6840. Its totient is φ = 1512.

The previous prime is 3779. The next prime is 3793. The reversal of 3790 is 973.

3790 = 3² + 4² + ... + 22².

It is a happy number.

3790 is nontrivially palindromic in base 16.

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

3790 is an undulating number in base 16.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3793) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (855).

2³⁷⁹⁰ is an apocalyptic number.

3790 is a deficient number, since it is larger than the sum of its proper divisors (3050).

3790 is a wasteful number, since it uses less digits than its factorization.

3790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 3790 is about 61.5629758865. The cubic root of 3790 is about 15.5912069667.

Multiplying 3790 by its sum of digits (19), we get a triangular number (72010 = T₃₇₉).

The spelling of 3790 in words is "three thousand, seven hundred ninety".