3561801984 has 360 divisors, whose sum is σ = 11658358712. Its totient is φ = 1074954240.

The previous prime is 3561801949. The next prime is 3561802021. The reversal of 3561801984 is 4891081653.

3561801984 is a `hidden beast` number, since 3 + 561 + 8 + 0 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41990400 + 3519811584 = 6480^2 + 59328^2 .

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 39 ways as a sum of consecutive naturals, for example, 19678374 + ... + 19678554.

Almost surely, 2^3561801984 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 3561801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829179356).

3561801984 is an abundant number, since it is smaller than the sum of its proper divisors (8096556728).

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

3561801984 is a wasteful number, since it uses less digits than its factorization.

3561801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 3561801984 is about 59680.8343105222. The cubic root of 3561801984 is about 1527.1789307888.

The spelling of 3561801984 in words is "three billion, five hundred sixty-one million, eight hundred one thousand, nine hundred eighty-four".