3223968 has 96 divisors (see below), whose sum is σ = 9580032. Its totient is φ = 940800.

The previous prime is 3223967. The next prime is 3223991. The reversal of 3223968 is 8693223.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45373 + ... + 45443.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

Almost surely, 2^3223968 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 3223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016).

3223968 is an abundant number, since it is smaller than the sum of its proper divisors (6356064).

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

3223968 is a wasteful number, since it uses less digits than its factorization.

3223968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3223968 is about 1795.5411440566. The cubic root of 3223968 is about 147.7282571410.

The spelling of 3223968 in words is "three million, two hundred twenty-three thousand, nine hundred sixty-eight".