3305413584 has 120 divisors (see below), whose sum is σ = 10622757600. Its totient is φ = 948913920.

The previous prime is 3305413561. The next prime is 3305413589. The reversal of 3305413584 is 4853145033.

3305413584 is a `hidden beast` number, since 3 + 3 + 0 + 541 + 35 + 84 = 666.

It is a super-2 number, since 2×3305413584² = 21851517922583450112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3305413589) 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 23 ways as a sum of consecutive naturals, for example, 24819 + ... + 85010.

It is an arithmetic number, because the mean of its divisors is an integer number (88522980).

Almost surely, 2^3305413584 is an apocalyptic number.

It is an amenable number.

3305413584 is an abundant number, since it is smaller than the sum of its proper divisors (7317344016).

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

3305413584 is a wasteful number, since it uses less digits than its factorization.

3305413584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109873 (or 109864 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3305413584 is about 57492.7263573402. The cubic root of 3305413584 is about 1489.6192267552.

The spelling of 3305413584 in words is "three billion, three hundred five million, four hundred thirteen thousand, five hundred eighty-four".