3629025 has 27 divisors (see below), whose sum is σ = 6551571. Its totient is φ = 1920240.

The previous prime is 3628991. The next prime is 3629027. The reversal of 3629025 is 5209263.

The square root of 3629025 is 1905.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1306449 + 2322576 = 1143^2 + 1524^2 .

It is not a de Polignac number, because 3629025 - 2⁷ = 3628897 is a prime.

3629025 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3629025.

It is not an unprimeable number, because it can be changed into a prime (3629027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28512 + ... + 28638.

Almost surely, 2^3629025 is an apocalyptic number.

3629025 is the 1905-th square number.

3629025 is the 953-rd centered octagonal number.

It is an amenable number.

3629025 is a deficient number, since it is larger than the sum of its proper divisors (2922546).

3629025 is a wasteful number, since it uses less digits than its factorization.

3629025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

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

The cubic root of 3629025 is about 153.6726757725.

It can be divided in two parts, 36290 and 25, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 3629025 in words is "three million, six hundred twenty-nine thousand, twenty-five".