3445882614720 has 2688 divisors, whose sum is σ = 16088231577600. Its totient is φ = 656725377024.

The previous prime is 3445882614697. The next prime is 3445882614749. The reversal of 3445882614720 is 274162885443.

3445882614720 is a `hidden beast` number, since 3 + 4 + 4 + 588 + 26 + 14 + 7 + 20 = 666.

3445882614720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10870292002 + ... + 10870292318.

It is an arithmetic number, because the mean of its divisors is an integer number (5985205200).

Almost surely, 2^{3445882614720} is an apocalyptic number.

3445882614720 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 3445882614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8044115788800).

3445882614720 is an abundant number, since it is smaller than the sum of its proper divisors (12642348962880).

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

3445882614720 is a wasteful number, since it uses less digits than its factorization.

3445882614720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3445882614720 in words is "three trillion, four hundred forty-five billion, eight hundred eighty-two million, six hundred fourteen thousand, seven hundred twenty".