3286944 has 72 divisors (see below), whose sum is σ = 9523332. Its totient is φ = 1075200.

The previous prime is 3286939. The next prime is 3286951. The reversal of 3286944 is 4496823.

It is a happy number.

3286944 is digitally balanced in base 5, 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 2 ways, for example, as 3283344 + 3600 = 1812^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 3286899 and 3286908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29032 + ... + 29144.

Almost surely, 2^3286944 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 3286944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761666).

3286944 is an abundant number, since it is smaller than the sum of its proper divisors (6236388).

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

3286944 is a wasteful number, since it uses less digits than its factorization.

3286944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3286944 is about 1812.9931053371. The cubic root of 3286944 is about 148.6839539198.

The spelling of 3286944 in words is "three million, two hundred eighty-six thousand, nine hundred forty-four".