3629304 has 96 divisors (see below), whose sum is σ = 11856000. Its totient is φ = 979776.

The previous prime is 3629303. The next prime is 3629357. The reversal of 3629304 is 4039263.

3629304 is a `hidden beast` number, since 3 + 629 + 30 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9387 + ... + 9765.

It is an arithmetic number, because the mean of its divisors is an integer number (123500).

Almost surely, 2^3629304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928000).

3629304 is an abundant number, since it is smaller than the sum of its proper divisors (8226696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3629304 is a wasteful number, since it uses less digits than its factorization.

3629304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3629304 is about 1905.0732269391. The cubic root of 3629304 is about 153.6766137979.

The spelling of 3629304 in words is "three million, six hundred twenty-nine thousand, three hundred four".