3629136 has 60 divisors (see below), whose sum is σ = 10912992. Its totient is φ = 1036224.

The previous prime is 3629123. The next prime is 3629141. The reversal of 3629136 is 6319263.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1581 + ... + 3123.

Almost surely, 2^3629136 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 3629136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456496).

3629136 is an abundant number, since it is smaller than the sum of its proper divisors (7283856).

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

3629136 is a wasteful number, since it uses less digits than its factorization.

3629136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1555 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 3629136 is about 1905.0291336355. The cubic root of 3629136 is about 153.6742425379.

The spelling of 3629136 in words is "three million, six hundred twenty-nine thousand, one hundred thirty-six".