3561340608 has 560 divisors, whose sum is σ = 13383304704. Its totient is φ = 912384000.

The previous prime is 3561340603. The next prime is 3561340609. The reversal of 3561340608 is 8060431653.

3561340608 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 3 + 40 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3561340603) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14188483 + ... + 14188733.

Almost surely, 2^3561340608 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 3561340608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691652352).

3561340608 is an abundant number, since it is smaller than the sum of its proper divisors (9821964096).

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

3561340608 is a wasteful number, since it uses less digits than its factorization.

3561340608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3561340608 is about 59676.9688238268. The cubic root of 3561340608 is about 1527.1129871892.

It can be divided in two parts, 356 and 1340608, that added together give a square (1340964 = 1158²).

The spelling of 3561340608 in words is "three billion, five hundred sixty-one million, three hundred forty thousand, six hundred eight".