3629 has 4 divisors (see below), whose sum is σ = 3840. Its totient is φ = 3420.

The previous prime is 3623. The next prime is 3631. The reversal of 3629 is 9263.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 9263 = 59 ⋅157.

It is not a de Polignac number, because 3629 - 2⁴ = 3613 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6, base 11 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3629.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3623) 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, 77 + ... + 114.

It is an arithmetic number, because the mean of its divisors is an integer number (960).

2³⁶²⁹ is an apocalyptic number.

It is an amenable number.

3629 is a deficient number, since it is larger than the sum of its proper divisors (211).

3629 is a wasteful number, since it uses less digits than its factorization.

3629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its digits is 324, while the sum is 20.

The square root of 3629 is about 60.2411819273. The cubic root of 3629 is about 15.3672322893.

The spelling of 3629 in words is "three thousand, six hundred twenty-nine".