3757 has 6 divisors (see below), whose sum is σ = 4298. Its totient is φ = 3264.

The previous prime is 3739. The next prime is 3761. The reversal of 3757 is 7573.

It can be written as a sum of positive squares in 3 ways, for example, as 841 + 2916 = 29^2 + 54^2 .

It is not a de Polignac number, because 3757 - 2¹¹ = 1709 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213 + ... + 229.

2³⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

3757 is a deficient number, since it is larger than the sum of its proper divisors (541).

3757 is a wasteful number, since it uses less digits than its factorization.

3757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its digits is 735, while the sum is 22.

The square root of 3757 is about 61.2943716829. The cubic root of 3757 is about 15.5458234666.

The spelling of 3757 in words is "three thousand, seven hundred fifty-seven".