3726 has 20 divisors (see below), whose sum is σ = 8712. Its totient is φ = 1188.

The previous prime is 3719. The next prime is 3727. The reversal of 3726 is 6273.

3726 = 29² + 30² + ... + 32².

3726 is nontrivially palindromic in base 5 and base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3³ + 2 + 7⁴ + 6⁴ .

3726 is an undulating number in base 16.

Its product of digits (252) is a multiple of the sum of its prime divisors (28).

It is a plaindrome in base 11.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 3699 and 3708.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3726.

It is not an unprimeable number, because it can be changed into a prime (3727) 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 9 ways as a sum of consecutive naturals, for example, 151 + ... + 173.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356).

3726 is an abundant number, since it is smaller than the sum of its proper divisors (4986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3726 is a wasteful number, since it uses less digits than its factorization.

3726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 28 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3726 is about 61.0409698481. The cubic root of 3726 is about 15.5029477571.

Adding to 3726 its reverse (6273), we get a palindrome (9999).

It can be divided in two parts, 372 and 6, that added together give a triangular number (378 = T₂₇).

The spelling of 3726 in words is "three thousand, seven hundred twenty-six".