3445905542688 has 216 divisors, whose sum is σ = 11400714053820. Its totient is φ = 984411832320.

The previous prime is 3445905542669. The next prime is 3445905542707. The reversal of 3445905542688 is 8862455095443.

3445905542688 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 9 + 0 + 5 + 542 + 6 + 88 = 666.

3445905542688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3445905542669) and next prime (3445905542707).

It can be written as a sum of positive squares in 2 ways, for example, as 2462928474384 + 982977068304 = 1569372^2 + 991452^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 159751168 + ... + 159772736.

Almost surely, 2^{3445905542688} 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 3445905542688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700357026910).

3445905542688 is an abundant number, since it is smaller than the sum of its proper divisors (7954808511132).

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

3445905542688 is a wasteful number, since it uses less digits than its factorization.

3445905542688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32920 (or 32902 counting only the distinct ones).

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

The spelling of 3445905542688 in words is "three trillion, four hundred forty-five billion, nine hundred five million, five hundred forty-two thousand, six hundred eighty-eight".