3225833856 has 384 divisors, whose sum is σ = 11358230400. Its totient is φ = 898200576.

The previous prime is 3225833837. The next prime is 3225833857. The reversal of 3225833856 is 6583385223.

3225833856 is a `hidden beast` number, since 32 + 2 + 583 + 38 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225833857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7281571 + ... + 7282013.

It is an arithmetic number, because the mean of its divisors is an integer number (29578725).

Almost surely, 2^3225833856 is an apocalyptic number.

3225833856 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 3225833856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679115200).

3225833856 is an abundant number, since it is smaller than the sum of its proper divisors (8132396544).

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

3225833856 is a wasteful number, since it uses less digits than its factorization.

3225833856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 3225833856 is about 56796.4246762065. The cubic root of 3225833856 is about 1477.5675065139.

The spelling of 3225833856 in words is "three billion, two hundred twenty-five million, eight hundred thirty-three thousand, eight hundred fifty-six".