3661096608 has 288 divisors, whose sum is σ = 12014258256. Its totient is φ = 1047527424.

The previous prime is 3661096601. The next prime is 3661096627. The reversal of 3661096608 is 8066901663.

3661096608 is a `hidden beast` number, since 36 + 6 + 1 + 0 + 9 + 6 + 608 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1775105424 + 1885991184 = 42132^2 + 43428^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3661096601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6173560 + ... + 6174152.

Almost surely, 2^3661096608 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 3661096608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007129128).

3661096608 is an abundant number, since it is smaller than the sum of its proper divisors (8353161648).

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

3661096608 is a wasteful number, since it uses less digits than its factorization.

3661096608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3661096608 is about 60506.9963557934. The cubic root of 3661096608 is about 1541.2404420803.

The spelling of 3661096608 in words is "three billion, six hundred sixty-one million, ninety-six thousand, six hundred eight".