3561281664 has 128 divisors (see below), whose sum is σ = 9906321600. Its totient is φ = 1132056576.

The previous prime is 3561281651. The next prime is 3561281683. The reversal of 3561281664 is 4661821653.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 922362 + ... + 926214.

Almost surely, 2^3561281664 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 3561281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953160800).

3561281664 is an abundant number, since it is smaller than the sum of its proper divisors (6345039936).

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

3561281664 is a wasteful number, since it uses less digits than its factorization.

3561281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3970 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 3561281664 is about 59676.4749629199. The cubic root of 3561281664 is about 1527.1045620244.

The spelling of 3561281664 in words is "three billion, five hundred sixty-one million, two hundred eighty-one thousand, six hundred sixty-four".