3205445568000 has 1280 divisors, whose sum is σ = 12001579349760. Its totient is φ = 753795072000.

The previous prime is 3205445567969. The next prime is 3205445568001. The reversal of 3205445568000 is 8655445023.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205445568001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5633471716 + ... + 5633472284.

It is an arithmetic number, because the mean of its divisors is an integer number (9376233867).

Almost surely, 2^{3205445568000} is an apocalyptic number.

3205445568000 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 3205445568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000789674880).

3205445568000 is an abundant number, since it is smaller than the sum of its proper divisors (8796133781760).

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

3205445568000 is a wasteful number, since it uses less digits than its factorization.

3205445568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 3205445568000 in words is "three trillion, two hundred five billion, four hundred forty-five million, five hundred sixty-eight thousand".