3662065205100 has 432 divisors, whose sum is σ = 12273038537760. Its totient is φ = 913288089600.

The previous prime is 3662065205077. The next prime is 3662065205173. The reversal of 3662065205100 is 15025602663.

It is a happy number.

3662065205100 is a `hidden beast` number, since 3 + 6 + 6 + 20 + 6 + 520 + 5 + 100 = 666.

3662065205100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 720734560 + ... + 720739640.

It is an arithmetic number, because the mean of its divisors is an integer number (28409811430).

Almost surely, 2^{3662065205100} is an apocalyptic number.

3662065205100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662065205100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136519268880).

3662065205100 is an abundant number, since it is smaller than the sum of its proper divisors (8610973332660).

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

3662065205100 is a wasteful number, since it uses less digits than its factorization.

3662065205100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 3662065205100 in words is "three trillion, six hundred sixty-two billion, sixty-five million, two hundred five thousand, one hundred".