3268896 has 48 divisors (see below), whose sum is σ = 9090144. Its totient is φ = 1025024.

The previous prime is 3268891. The next prime is 3268901. The reversal of 3268896 is 6988623.

It is an interprime number because it is at equal distance from previous prime (3268891) and next prime (3268901).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (189378).

Almost surely, 2^3268896 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 3268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545072).

3268896 is an abundant number, since it is smaller than the sum of its proper divisors (5821248).

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

3268896 is a wasteful number, since it uses less digits than its factorization.

3268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2025 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 3268896 is about 1808.0088495359. The cubic root of 3268896 is about 148.4113223126.

The spelling of 3268896 in words is "three million, two hundred sixty-eight thousand, eight hundred ninety-six".