3561819648 has 240 divisors, whose sum is σ = 10402191360. Its totient is φ = 1079930880.

The previous prime is 3561819647. The next prime is 3561819661. The reversal of 3561819648 is 8469181653.

It is a self number, because there is not a number n which added to its sum of digits gives 3561819648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561819647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28045761 + ... + 28045887.

It is an arithmetic number, because the mean of its divisors is an integer number (43342464).

Almost surely, 2^3561819648 is an apocalyptic number.

3561819648 is a gapful number since it is divisible by the number (38) 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 3561819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201095680).

3561819648 is an abundant number, since it is smaller than the sum of its proper divisors (6840371712).

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

3561819648 is a wasteful number, since it uses less digits than its factorization.

3561819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 182 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 3561819648 is about 59680.9822975460. The cubic root of 3561819648 is about 1527.1814553578.

The spelling of 3561819648 in words is "three billion, five hundred sixty-one million, eight hundred nineteen thousand, six hundred forty-eight".