3322944 has 70 divisors (see below), whose sum is σ = 9865614. Its totient is φ = 1105920.

The previous prime is 3322931. The next prime is 3322961. The reversal of 3322944 is 4492233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 82944 = 1800^2 + 288^2 .

It is a super-2 number, since 2×3322944² = 22083913654272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4864 + ... + 5504.

Almost surely, 2^3322944 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 3322944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932807).

3322944 is an abundant number, since it is smaller than the sum of its proper divisors (6542670).

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

3322944 is an equidigital number, since it uses as much as digits as its factorization.

3322944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 646 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3322944 is about 1822.8944017688. The cubic root of 3322944 is about 149.2248006748.

The spelling of 3322944 in words is "three million, three hundred twenty-two thousand, nine hundred forty-four".