3749 has 4 divisors (see below), whose sum is σ = 3936. Its totient is φ = 3564.

The previous prime is 3739. The next prime is 3761. The reversal of 3749 is 9473.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 3749 - 2⁴ = 3733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 163 = 3749 / (3 + 7 + 4 + 9).

It is a d-powerful number, because it can be written as 3⁵ + 4⁵ + 7⁴ + 9² .

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a nialpdrome in base 4 and base 16.

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 3749.

It is not an unprimeable number, because it can be changed into a prime (3709) 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 3 ways as a sum of consecutive naturals, for example, 59 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (984).

2³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

3749 is a deficient number, since it is larger than the sum of its proper divisors (187).

3749 is a wasteful number, since it uses less digits than its factorization.

3749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its digits is 756, while the sum is 23.

The square root of 3749 is about 61.2290780594. The cubic root of 3749 is about 15.5347814148.

It can be divided in two parts, 374 and 9, that added together give a palindrome (383).

The spelling of 3749 in words is "three thousand, seven hundred forty-nine".