3421845575568 has 240 divisors, whose sum is σ = 11035650637440. Its totient is φ = 969559179264.

The previous prime is 3421845575531. The next prime is 3421845575573. The reversal of 3421845575568 is 8655755481243.

3421845575568 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 8 + 4 + 5 + 575 + 56 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58776618 + ... + 58834806.

It is an arithmetic number, because the mean of its divisors is an integer number (45981877656).

Almost surely, 2^{3421845575568} 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 3421845575568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517825318720).

3421845575568 is an abundant number, since it is smaller than the sum of its proper divisors (7613805061872).

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

3421845575568 is a wasteful number, since it uses less digits than its factorization.

3421845575568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58694 (or 58685 counting only the distinct ones).

The product of its digits is 161280000, while the sum is 63.

The spelling of 3421845575568 in words is "three trillion, four hundred twenty-one billion, eight hundred forty-five million, five hundred seventy-five thousand, five hundred sixty-eight".