3217968 has 100 divisors (see below), whose sum is σ = 10082688. Its totient is φ = 984960.

The previous prime is 3217939. The next prime is 3217969. The reversal of 3217968 is 8697123.

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

Its product of digits (18144) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (3217969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16753 + ... + 16943.

Almost surely, 2^3217968 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 3217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041344).

3217968 is an abundant number, since it is smaller than the sum of its proper divisors (6864720).

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

3217968 is a wasteful number, since it uses less digits than its factorization.

3217968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3217968 is about 1793.8695604753. The cubic root of 3217968 is about 147.6365564816.

The spelling of 3217968 in words is "three million, two hundred seventeen thousand, nine hundred sixty-eight".