3285099584 has 112 divisors (see below), whose sum is σ = 7690561200. Its totient is φ = 1377632256.

The previous prime is 3285099569. The next prime is 3285099589. The reversal of 3285099584 is 4859905823.

It can be written as a sum of positive squares in 8 ways, for example, as 5017600 + 3280081984 = 2240^2 + 57272^2 .

It is not an unprimeable number, because it can be changed into a prime (3285099589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 406172 + ... + 414180.

It is an arithmetic number, because the mean of its divisors is an integer number (68665725).

Almost surely, 2^3285099584 is an apocalyptic number.

3285099584 is a gapful number since it is divisible by the number (34) 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 3285099584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845280600).

3285099584 is an abundant number, since it is smaller than the sum of its proper divisors (4405461616).

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

3285099584 is a wasteful number, since it uses less digits than its factorization.

3285099584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The square root of 3285099584 is about 57315.7882611763. The cubic root of 3285099584 is about 1486.5613817624.

The spelling of 3285099584 in words is "three billion, two hundred eighty-five million, ninety-nine thousand, five hundred eighty-four".