3452865850368 has 1056 divisors, whose sum is σ = 12031751793600. Its totient is φ = 973988167680.

The previous prime is 3452865850349. The next prime is 3452865850417. The reversal of 3452865850368 is 8630585682543.

3452865850368 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 8 + 65 + 8 + 503 + 68 = 666.

3452865850368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6199040746 + ... + 6199041302.

It is an arithmetic number, because the mean of its divisors is an integer number (11393704350).

Almost surely, 2^{3452865850368} 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 3452865850368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015875896800).

3452865850368 is an abundant number, since it is smaller than the sum of its proper divisors (8578885943232).

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

3452865850368 is a wasteful number, since it uses less digits than its factorization.

3452865850368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 3452865850368 in words is "three trillion, four hundred fifty-two billion, eight hundred sixty-five million, eight hundred fifty thousand, three hundred sixty-eight".