3642444 has 72 divisors (see below), whose sum is σ = 10202192. Its totient is φ = 1088640.

The previous prime is 3642427. The next prime is 3642449. The reversal of 3642444 is 4442463.

3642444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3642449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20034 + ... + 20214.

Almost surely, 2^3642444 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 3642444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101096).

3642444 is an abundant number, since it is smaller than the sum of its proper divisors (6559748).

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

3642444 is a wasteful number, since it uses less digits than its factorization.

3642444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 242 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 3642444 is about 1908.5187973924. The cubic root of 3642444 is about 153.8618539618.

The spelling of 3642444 in words is "three million, six hundred forty-two thousand, four hundred forty-four".