3643168 has 48 divisors (see below), whose sum is σ = 7842744. Its totient is φ = 1658880.

The previous prime is 3643147. The next prime is 3643181. The reversal of 3643168 is 8613463.

3643168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 446224 = 1788^2 + 668^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20038 + ... + 20218.

Almost surely, 2^3643168 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 3643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921372).

3643168 is an abundant number, since it is smaller than the sum of its proper divisors (4199576).

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

3643168 is a wasteful number, since it uses less digits than its factorization.

3643168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 3643168 is about 1908.7084638572. The cubic root of 3643168 is about 153.8720475390.

The spelling of 3643168 in words is "three million, six hundred forty-three thousand, one hundred sixty-eight".