3228864 has 56 divisors (see below), whose sum is σ = 8705088. Its totient is φ = 1056000.

The previous prime is 3228857. The next prime is 3228871. The reversal of 3228864 is 4688223.

It is an interprime number because it is at equal distance from previous prime (3228857) and next prime (3228871).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12739 + ... + 12989.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 2^3228864 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 3228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352544).

3228864 is an abundant number, since it is smaller than the sum of its proper divisors (5476224).

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

3228864 is a wasteful number, since it uses less digits than its factorization.

3228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3228864 is about 1796.9040041137. The cubic root of 3228864 is about 147.8030006172.

The spelling of 3228864 in words is "three million, two hundred twenty-eight thousand, eight hundred sixty-four".