3214944 has 72 divisors (see below), whose sum is σ = 9533160. Its totient is φ = 1054080.

The previous prime is 3214909. The next prime is 3214949. The reversal of 3214944 is 4494123.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52674 + ... + 52734.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

Almost surely, 2^3214944 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 3214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766580).

3214944 is an abundant number, since it is smaller than the sum of its proper divisors (6318216).

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

3214944 is an equidigital number, since it uses as much as digits as its factorization.

3214944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 66 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3214944 is about 1793.0264917173. The cubic root of 3214944 is about 147.5902961431.

Multiplying 3214944 by its product of digits (3456), we get a square (11110846464 = 105408²).

The spelling of 3214944 in words is "three million, two hundred fourteen thousand, nine hundred forty-four".