3225835008 has 240 divisors, whose sum is σ = 10601750016. Its totient is φ = 934686720.

The previous prime is 3225834929. The next prime is 3225835043. The reversal of 3225835008 is 8005385223.

3225835008 is a `hidden beast` number, since 3 + 22 + 583 + 50 + 0 + 8 = 666.

It is a super-2 number, since 2×3225835008² = 20812022997676720128, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164441 + ... + 1167207.

Almost surely, 2^3225835008 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 3225835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300875008).

3225835008 is an abundant number, since it is smaller than the sum of its proper divisors (7375915008).

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

3225835008 is a wasteful number, since it uses less digits than its factorization.

3225835008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3225835008 is about 56796.4348176890. The cubic root of 3225835008 is about 1477.5676824020.

The spelling of 3225835008 in words is "three billion, two hundred twenty-five million, eight hundred thirty-five thousand, eight".