3609435648 has 640 divisors, whose sum is σ = 13199155200. Its totient is φ = 867041280.

The previous prime is 3609435647. The next prime is 3609435653. The reversal of 3609435648 is 8465349063.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3609435597 and 3609435606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3609435647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116433393 + ... + 116433423.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^3609435648 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 3609435648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3609435648 is an abundant number, since it is smaller than the sum of its proper divisors (9589719552).

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

3609435648 is a wasteful number, since it uses less digits than its factorization.

3609435648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 3609435648 is about 60078.5789445789. The cubic root of 3609435648 is about 1533.9567014642.

The spelling of 3609435648 in words is "three billion, six hundred nine million, four hundred thirty-five thousand, six hundred forty-eight".