3285099648 has 144 divisors (see below), whose sum is σ = 9613135350. Its totient is φ = 1076680704.

The previous prime is 3285099641. The next prime is 3285099709. The reversal of 3285099648 is 8469905823.

3285099648 is a `hidden beast` number, since 3 + 2 + 8 + 509 + 96 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3118999104 + 166100544 = 55848^2 + 12888^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3285099594 and 3285099603.

It is not an unprimeable number, because it can be changed into a prime (3285099641) 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 17 ways as a sum of consecutive naturals, for example, 18352423 + ... + 18352601.

Almost surely, 2^3285099648 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 3285099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806567675).

3285099648 is an abundant number, since it is smaller than the sum of its proper divisors (6328035702).

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

3285099648 is an equidigital number, since it uses as much as digits as its factorization.

3285099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 3285099648 is about 57315.7888194867. The cubic root of 3285099648 is about 1486.5613914161.

The spelling of 3285099648 in words is "three billion, two hundred eighty-five million, ninety-nine thousand, six hundred forty-eight".