3228768 has 96 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 1036800.

The previous prime is 3228751. The next prime is 3228769. The reversal of 3228768 is 8678223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3228768³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31918 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 2^3228768 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 3228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760).

3228768 is an abundant number, since it is smaller than the sum of its proper divisors (6538752).

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

3228768 is a wasteful number, since it uses less digits than its factorization.

3228768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3228768 is about 1796.8772913029. The cubic root of 3228768 is about 147.8015357853.

The spelling of 3228768 in words is "three million, two hundred twenty-eight thousand, seven hundred sixty-eight".