3268880 has 40 divisors (see below), whose sum is σ = 7867800. Its totient is φ = 1261568.

The previous prime is 3268871. The next prime is 3268891. The reversal of 3268880 is 888623.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 3268864 = 4^2 + 1808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 3268880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616 + ... + 3024.

It is an arithmetic number, because the mean of its divisors is an integer number (196695).

Almost surely, 2^3268880 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 3268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933900).

3268880 is an abundant number, since it is smaller than the sum of its proper divisors (4598920).

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

3268880 is a wasteful number, since it uses less digits than its factorization.

3268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 3268880 is about 1808.0044247733. The cubic root of 3268880 is about 148.4110801733.

It can be divided in two parts, 32688 and 80, that added together give a 15-th power (32768 = 2¹⁵).

The spelling of 3268880 in words is "three million, two hundred sixty-eight thousand, eight hundred eighty".