3205597201664 has 288 divisors, whose sum is σ = 7832634163200. Its totient is φ = 1289405030400.

The previous prime is 3205597201643. The next prime is 3205597201669. The reversal of 3205597201664 is 4661027955023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205597201669) 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 31 ways as a sum of consecutive naturals, for example, 121415537 + ... + 121441935.

It is an arithmetic number, because the mean of its divisors is an integer number (27196646400).

Almost surely, 2^{3205597201664} 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 3205597201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916317081600).

3205597201664 is an abundant number, since it is smaller than the sum of its proper divisors (4627036961536).

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

3205597201664 is a wasteful number, since it uses less digits than its factorization.

3205597201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26577 (or 26563 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 3205597201664 in words is "three trillion, two hundred five billion, five hundred ninety-seven million, two hundred one thousand, six hundred sixty-four".