3305072 has 40 divisors (see below), whose sum is σ = 7030800. Its totient is φ = 1498112.

The previous prime is 3305063. The next prime is 3305111. The reversal of 3305072 is 2705033.

3305072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7679 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 2^3305072 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 3305072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515400).

3305072 is an abundant number, since it is smaller than the sum of its proper divisors (3725728).

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

3305072 is a wasteful number, since it uses less digits than its factorization.

3305072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 3305072 is about 1817.9856985136. The cubic root of 3305072 is about 148.9567912186.

The spelling of 3305072 in words is "three million, three hundred five thousand, seventy-two".