3648009216 has 88 divisors (see below), whose sum is σ = 9745030080. Its totient is φ = 1213284352.

The previous prime is 3648009193. The next prime is 3648009223. The reversal of 3648009216 is 6129008463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746925 + ... + 1749011.

Almost surely, 2^3648009216 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 3648009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872515040).

3648009216 is an abundant number, since it is smaller than the sum of its proper divisors (6097020864).

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

3648009216 is a wasteful number, since it uses less digits than its factorization.

3648009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3648009216 is about 60398.7517751816. The cubic root of 3648009216 is about 1539.4017488469.

The spelling of 3648009216 in words is "three billion, six hundred forty-eight million, nine thousand, two hundred sixteen".