3935645564928 has 512 divisors, whose sum is σ = 13536490176000. Its totient is φ = 986940702720.

The previous prime is 3935645564911. The next prime is 3935645564941. The reversal of 3935645564928 is 8294655465393.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219503868 + ... + 219521796.

It is an arithmetic number, because the mean of its divisors is an integer number (26438457375).

Almost surely, 2^{3935645564928} 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 3935645564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768245088000).

3935645564928 is an abundant number, since it is smaller than the sum of its proper divisors (9600844611072).

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

3935645564928 is a wasteful number, since it uses less digits than its factorization.

3935645564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009 (or 17981 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 69.

The spelling of 3935645564928 in words is "three trillion, nine hundred thirty-five billion, six hundred forty-five million, five hundred sixty-four thousand, nine hundred twenty-eight".