3285307584 has 168 divisors, whose sum is σ = 10468977792. Its totient is φ = 978186240.

The previous prime is 3285307559. The next prime is 3285307607. The reversal of 3285307584 is 4857035823.

3285307584 is a `hidden beast` number, since 32 + 8 + 5 + 30 + 7 + 584 = 666.

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 23 ways as a sum of consecutive naturals, for example, 225052 + ... + 239204.

It is an arithmetic number, because the mean of its divisors is an integer number (62315344).

Almost surely, 2^3285307584 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 3285307584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234488896).

3285307584 is an abundant number, since it is smaller than the sum of its proper divisors (7183670208).

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

3285307584 is a wasteful number, since it uses less digits than its factorization.

3285307584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215 (or 14202 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 3285307584 is about 57317.6027412173. The cubic root of 3285307584 is about 1486.5927555695.

The spelling of 3285307584 in words is "three billion, two hundred eighty-five million, three hundred seven thousand, five hundred eighty-four".