3756 has 12 divisors (see below), whose sum is σ = 8792. Its totient is φ = 1248.

The previous prime is 3739. The next prime is 3761. The reversal of 3756 is 6573.

3756 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 12.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3756.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 145 + ... + 168.

2³⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

3756 is an abundant number, since it is smaller than the sum of its proper divisors (5036).

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 (4396).

3756 is a wasteful number, since it uses less digits than its factorization.

3756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 318 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 3756 is about 61.2862137842. The cubic root of 3756 is about 15.5444440679.

The spelling of 3756 in words is "three thousand, seven hundred fifty-six".