3305280 has 112 divisors (see below), whose sum is σ = 11484864. Its totient is φ = 798720.

The previous prime is 3305279. The next prime is 3305287. The reversal of 3305280 is 825033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10404 + ... + 10716.

Almost surely, 2^3305280 is an apocalyptic number.

3305280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742432).

3305280 is an abundant number, since it is smaller than the sum of its proper divisors (8179584).

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

3305280 is a wasteful number, since it uses less digits than its factorization.

3305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3305280 is about 1818.0429037842. The cubic root of 3305280 is about 148.9599159476.

It can be divided in two parts, 330 and 5280, that multiplied together give a square (1742400 = 1320²).

The spelling of 3305280 in words is "three million, three hundred five thousand, two hundred eighty".