3222816 has 48 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1054208.

The previous prime is 3222797. The next prime is 3222823. The reversal of 3222816 is 6182223.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5380 + ... + 5948.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^3222816 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 3222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

3222816 is an abundant number, since it is smaller than the sum of its proper divisors (5395584).

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

3222816 is a wasteful number, since it uses less digits than its factorization.

3222816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3222816 is about 1795.2203207406. The cubic root of 3222816 is about 147.7106594450.

The spelling of 3222816 in words is "three million, two hundred twenty-two thousand, eight hundred sixteen".