3305465856 has 576 divisors, whose sum is σ = 12694631040. Its totient is φ = 802160640.

The previous prime is 3305465843. The next prime is 3305465869. The reversal of 3305465856 is 6585645033.

3305465856 is a `hidden beast` number, since 3 + 3 + 0 + 546 + 58 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (3305465843) and next prime (3305465869).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3305465856² = 21852209050363625472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24127420 + ... + 24127556.

It is an arithmetic number, because the mean of its divisors is an integer number (22039290).

Almost surely, 2^3305465856 is an apocalyptic number.

3305465856 is a gapful number since it is divisible by the number (36) 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 3305465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347315520).

3305465856 is an abundant number, since it is smaller than the sum of its proper divisors (9389165184).

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

3305465856 is a wasteful number, since it uses less digits than its factorization.

3305465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 3305465856 is about 57493.1809521790. The cubic root of 3305465856 is about 1489.6270790218.

The spelling of 3305465856 in words is "three billion, three hundred five million, four hundred sixty-five thousand, eight hundred fifty-six".