3305888 has 48 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1514496.

The previous prime is 3305879. The next prime is 3305891. The reversal of 3305888 is 8885033.

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, 32045 + ... + 32147.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3305888 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 3305888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

3305888 is an abundant number, since it is smaller than the sum of its proper divisors (3770272).

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

3305888 is a wasteful number, since it uses less digits than its factorization.

3305888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3305888 is about 1818.2101088708. The cubic root of 3305888 is about 148.9690490191.

The spelling of 3305888 in words is "three million, three hundred five thousand, eight hundred eighty-eight".