3305945440 has 96 divisors (see below), whose sum is σ = 8960051520. Its totient is φ = 1129150464.

The previous prime is 3305945429. The next prime is 3305945441. The reversal of 3305945440 is 445495033.

It is a self number, because there is not a number n which added to its sum of digits gives 3305945440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305945441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295794 + ... + 306766.

It is an arithmetic number, because the mean of its divisors is an integer number (93333870).

Almost surely, 2^3305945440 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 3305945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480025760).

3305945440 is an abundant number, since it is smaller than the sum of its proper divisors (5654106080).

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

3305945440 is a wasteful number, since it uses less digits than its factorization.

3305945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 3305945440 is about 57497.3515911820. The cubic root of 3305945440 is about 1489.6991179614.

The spelling of 3305945440 in words is "three billion, three hundred five million, nine hundred forty-five thousand, four hundred forty".