3682629 has 12 divisors (see below), whose sum is σ = 5338476. Its totient is φ = 2446272.

The previous prime is 3682607. The next prime is 3682639. The reversal of 3682629 is 9262863.

It can be written as a sum of positive squares in 2 ways, for example, as 1512900 + 2169729 = 1230^2 + 1473^2 .

It is not a de Polignac number, because 3682629 - 2⁵ = 3682597 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3682593 and 3682602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2809 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (444873).

Almost surely, 2^3682629 is an apocalyptic number.

It is an amenable number.

3682629 is a deficient number, since it is larger than the sum of its proper divisors (1655847).

3682629 is a wasteful number, since it uses less digits than its factorization.

3682629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1473 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 3682629 is about 1919.0177174794. The cubic root of 3682629 is about 154.4256090796.

The spelling of 3682629 in words is "three million, six hundred eighty-two thousand, six hundred twenty-nine".