3706 has 8 divisors (see below), whose sum is σ = 5940. Its totient is φ = 1728.

The previous prime is 3701. The next prime is 3709. The reversal of 3706 is 6073.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3481 + 225 = 59^2 + 15^2 .

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

It is a d-powerful number, because it can be written as 3² + 0 + 7⁴ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 3706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3706.

It is not an unprimeable number, because it can be changed into a prime (3701) 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, 21 + ... + 88.

2³⁷⁰⁶ is an apocalyptic number.

3706 is the 39-th centered pentagonal number.

3706 is a deficient number, since it is larger than the sum of its proper divisors (2234).

3706 is a wasteful number, since it uses less digits than its factorization.

3706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 3706 is about 60.8769250209. The cubic root of 3706 is about 15.4751596571.

Adding to 3706 its reverse (6073), we get a palindrome (9779).

The spelling of 3706 in words is "three thousand, seven hundred six".