3282944 has 48 divisors (see below), whose sum is σ = 7534800. Its totient is φ = 1400832.

The previous prime is 3282913. The next prime is 3282977. The reversal of 3282944 is 4492823.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3282944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14222 + ... + 14450.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

Almost surely, 2^3282944 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 3282944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767400).

3282944 is an abundant number, since it is smaller than the sum of its proper divisors (4251856).

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

3282944 is an equidigital number, since it uses as much as digits as its factorization.

3282944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 238 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 3282944 is about 1811.8896213622. The cubic root of 3282944 is about 148.6236164928.

The spelling of 3282944 in words is "three million, two hundred eighty-two thousand, nine hundred forty-four".