3829209 has 16 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 2480400.

The previous prime is 3829183. The next prime is 3829219. The reversal of 3829209 is 9029283.

It is not a de Polignac number, because 3829209 - 2⁷ = 3829081 is a prime.

It is a Curzon number.

3829209 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 3829209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25284 + ... + 25434.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 2^3829209 is an apocalyptic number.

It is an amenable number.

3829209 is a deficient number, since it is larger than the sum of its proper divisors (1423911).

3829209 is a wasteful number, since it uses less digits than its factorization.

3829209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3829209 is about 1956.8364775831. The cubic root of 3829209 is about 156.4478828321.

It can be divided in two parts, 382 and 9209, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 3829209 in words is "three million, eight hundred twenty-nine thousand, two hundred nine".