3322872 has 96 divisors (see below), whose sum is σ = 10857600. Its totient is φ = 896832.

The previous prime is 3322867. The next prime is 3322873. The reversal of 3322872 is 2782233.

It is a super-2 number, since 2×3322872² = 22082956656768, which contains 22 as substring.

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 (3322873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9403 + ... + 9749.

It is an arithmetic number, because the mean of its divisors is an integer number (113100).

Almost surely, 2^3322872 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 3322872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428800).

3322872 is an abundant number, since it is smaller than the sum of its proper divisors (7534728).

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

3322872 is a wasteful number, since it uses less digits than its factorization.

3322872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 3322872 is about 1822.8746528492. The cubic root of 3322872 is about 149.2237228892.

The spelling of 3322872 in words is "three million, three hundred twenty-two thousand, eight hundred seventy-two".