3282035328 has 512 divisors, whose sum is σ = 11823840000. Its totient is φ = 882524160.

The previous prime is 3282035311. The next prime is 3282035359. The reversal of 3282035328 is 8235302823.

It is a happy number.

3282035328 is a `hidden beast` number, since 3 + 282 + 0 + 353 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3282035292 and 3282035301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14331918 + ... + 14332146.

Almost surely, 2^3282035328 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 3282035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911920000).

3282035328 is an abundant number, since it is smaller than the sum of its proper divisors (8541804672).

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

3282035328 is a wasteful number, since it uses less digits than its factorization.

3282035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3282035328 is about 57289.0506816093. The cubic root of 3282035328 is about 1486.0990292952.

The spelling of 3282035328 in words is "three billion, two hundred eighty-two million, thirty-five thousand, three hundred twenty-eight".