3268416 has 56 divisors (see below), whose sum is σ = 8961120. Its totient is φ = 1050112.

The previous prime is 3268381. The next prime is 3268417. The reversal of 3268416 is 6148623.

3268416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5275 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^3268416 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 3268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480560).

3268416 is an abundant number, since it is smaller than the sum of its proper divisors (5692704).

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

3268416 is a wasteful number, since it uses less digits than its factorization.

3268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3268416 is about 1807.8761019495. The cubic root of 3268416 is about 148.4040577885.

The spelling of 3268416 in words is "three million, two hundred sixty-eight thousand, four hundred sixteen".