3258880 has 80 divisors (see below), whose sum is σ = 8347680. Its totient is φ = 1216512.

The previous prime is 3258877. The next prime is 3258889. The reversal of 3258880 is 888523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3258889) 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, 48607 + ... + 48673.

It is an arithmetic number, because the mean of its divisors is an integer number (104346).

Almost surely, 2^3258880 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 3258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173840).

3258880 is an abundant number, since it is smaller than the sum of its proper divisors (5088800).

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

3258880 is an equidigital number, since it uses as much as digits as its factorization.

3258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 3258880 is about 1805.2368265687. The cubic root of 3258880 is about 148.2595882502.

The spelling of 3258880 in words is "three million, two hundred fifty-eight thousand, eight hundred eighty".