3561807648 has 144 divisors (see below), whose sum is σ = 11129801760. Its totient is φ = 993936384.

The previous prime is 3561807631. The next prime is 3561807779. The reversal of 3561807648 is 8467081653.

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 = 3561807597 and 3561807606.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193468 + ... + 211076.

It is an arithmetic number, because the mean of its divisors is an integer number (77290290).

Almost surely, 2^3561807648 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 3561807648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564900880).

3561807648 is an abundant number, since it is smaller than the sum of its proper divisors (7567994112).

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

3561807648 is a wasteful number, since it uses less digits than its factorization.

3561807648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17679 (or 17664 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3561807648 is about 59680.8817629230. The cubic root of 3561807648 is about 1527.1797402983.

The spelling of 3561807648 in words is "three billion, five hundred sixty-one million, eight hundred seven thousand, six hundred forty-eight".