3665116520208 has 1280 divisors, whose sum is σ = 13652246200320. Its totient is φ = 923863449600.

The previous prime is 3665116520203. The next prime is 3665116520243. The reversal of 3665116520208 is 8020256115663.

3665116520208 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 116 + 520 + 2 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3665116520201) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3353262510 + ... + 3353263602.

It is an arithmetic number, because the mean of its divisors is an integer number (10665817344).

Almost surely, 2^{3665116520208} 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 3665116520208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826123100160).

3665116520208 is an abundant number, since it is smaller than the sum of its proper divisors (9987129680112).

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

3665116520208 is a wasteful number, since it uses less digits than its factorization.

3665116520208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3665116520208 in words is "three trillion, six hundred sixty-five billion, one hundred sixteen million, five hundred twenty thousand, two hundred eight".