3222432 has 72 divisors (see below), whose sum is σ = 9356256. Its totient is φ = 1051776.

The previous prime is 3222413. The next prime is 3222467. The reversal of 3222432 is 2342223.

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 (18).

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

It is a d-powerful number, because it can be written as 3⁵ + 2¹⁰ + 2¹⁴ + 2²⁰ + 4 + 3¹⁰ + 2²¹ .

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, 19213 + ... + 19379.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

Almost surely, 2^3222432 is an apocalyptic number.

3222432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678128).

3222432 is an abundant number, since it is smaller than the sum of its proper divisors (6133824).

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

3222432 is a wasteful number, since it uses less digits than its factorization.

3222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its digits is 576, while the sum is 18.

The square root of 3222432 is about 1795.1133668936. The cubic root of 3222432 is about 147.7047926145.

Adding to 3222432 its reverse (2342223), we get a palindrome (5564655).

The spelling of 3222432 in words is "three million, two hundred twenty-two thousand, four hundred thirty-two".