3326813856 has 288 divisors, whose sum is σ = 10429106688. Its totient is φ = 1041361920.

The previous prime is 3326813849. The next prime is 3326813891. The reversal of 3326813856 is 6583186233.

3326813856 is a `hidden beast` number, since 3 + 3 + 268 + 1 + 385 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3326813856² = 22135380864947177472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8918886 + ... + 8919258.

It is an arithmetic number, because the mean of its divisors is an integer number (36212176).

Almost surely, 2^3326813856 is an apocalyptic number.

3326813856 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 3326813856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214553344).

3326813856 is an abundant number, since it is smaller than the sum of its proper divisors (7102292832).

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

3326813856 is a wasteful number, since it uses less digits than its factorization.

3326813856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3326813856 is about 57678.5389551434. The cubic root of 3326813856 is about 1492.8270660202.

The spelling of 3326813856 in words is "three billion, three hundred twenty-six million, eight hundred thirteen thousand, eight hundred fifty-six".