3586643601216 has 224 divisors, whose sum is σ = 10400607006720. Its totient is φ = 1084130555904.

The previous prime is 3586643601209. The next prime is 3586643601251. The reversal of 3586643601216 is 6121063466853.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61344925 + ... + 61403363.

It is an arithmetic number, because the mean of its divisors is an integer number (46431281280).

Almost surely, 2^{3586643601216} 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 3586643601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200303503360).

3586643601216 is an abundant number, since it is smaller than the sum of its proper divisors (6813963405504).

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

3586643601216 is a wasteful number, since it uses less digits than its factorization.

3586643601216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58901 (or 58891 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 3586643601216 in words is "three trillion, five hundred eighty-six billion, six hundred forty-three million, six hundred one thousand, two hundred sixteen".