3645343205000 has 160 divisors (see below), whose sum is σ = 9763112304000. Its totient is φ = 1249585536000.

The previous prime is 3645343204949. The next prime is 3645343205003. The reversal of 3645343205000 is 5023435463.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3645343205003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 319789301 + ... + 319800699.

It is an arithmetic number, because the mean of its divisors is an integer number (61019451900).

Almost surely, 2^{3645343205000} 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 3645343205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881556152000).

3645343205000 is an abundant number, since it is smaller than the sum of its proper divisors (6117769099000).

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

3645343205000 is a wasteful number, since it uses less digits than its factorization.

3645343205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 3645343205000 in words is "three trillion, six hundred forty-five billion, three hundred forty-three million, two hundred five thousand".