3629205 has 48 divisors (see below), whose sum is σ = 6814080. Its totient is φ = 1850688.

The previous prime is 3629203. The next prime is 3629207. The reversal of 3629205 is 5029263.

3629205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3629203) and next prime (3629207).

It is not a de Polignac number, because 3629205 - 2¹ = 3629203 is a prime.

It is a super-2 number, since 2×3629205² = 26342257864050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35184 + ... + 35286.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

Almost surely, 2^3629205 is an apocalyptic number.

It is an amenable number.

3629205 is a deficient number, since it is larger than the sum of its proper divisors (3184875).

3629205 is a wasteful number, since it uses less digits than its factorization.

3629205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3629205 is about 1905.0472435087. The cubic root of 3629205 is about 153.6752164571.

It can be divided in two parts, 36 and 29205, that added together give a square (29241 = 171²).

The spelling of 3629205 in words is "three million, six hundred twenty-nine thousand, two hundred five".