3445312066560 has 1584 divisors, whose sum is σ = 15613434135936. Its totient is φ = 683922161664.

The previous prime is 3445312066523. The next prime is 3445312066591. The reversal of 3445312066560 is 656602135443.

3445312066560 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 3 + 1 + 20 + 66 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1211856499 + ... + 1211859341.

Almost surely, 2^{3445312066560} is an apocalyptic number.

3445312066560 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 3445312066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806717067968).

3445312066560 is an abundant number, since it is smaller than the sum of its proper divisors (12168122069376).

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

3445312066560 is a wasteful number, since it uses less digits than its factorization.

3445312066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 3445312066560 in words is "three trillion, four hundred forty-five billion, three hundred twelve million, sixty-six thousand, five hundred sixty".