3268144 has 40 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 1435200.

The previous prime is 3268141. The next prime is 3268157. The reversal of 3268144 is 4418623.

3268144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3268141) 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 7 ways as a sum of consecutive naturals, for example, 5157 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

Almost surely, 2^3268144 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 3268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

3268144 is an abundant number, since it is smaller than the sum of its proper divisors (3874256).

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

3268144 is a wasteful number, since it uses less digits than its factorization.

3268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 3268144 is about 1807.8008739903. The cubic root of 3268144 is about 148.3999409091.

The spelling of 3268144 in words is "three million, two hundred sixty-eight thousand, one hundred forty-four".