3629444 has 48 divisors (see below), whose sum is σ = 7996800. Its totient is φ = 1411488.

The previous prime is 3629413. The next prime is 3629459. The reversal of 3629444 is 4449263.

Its product of digits (20736) is a multiple of the sum of its prime divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 3629444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61487 + ... + 61545.

It is an arithmetic number, because the mean of its divisors is an integer number (166600).

Almost surely, 2^3629444 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 3629444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998400).

3629444 is an abundant number, since it is smaller than the sum of its proper divisors (4367356).

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

3629444 is a wasteful number, since it uses less digits than its factorization.

3629444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 81 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3629444 is about 1905.1099705791. The cubic root of 3629444 is about 153.6785897919.

The spelling of 3629444 in words is "three million, six hundred twenty-nine thousand, four hundred forty-four".