3445705893168 has 1800 divisors, whose sum is σ = 13511747172000. Its totient is φ = 845741191680.

The previous prime is 3445705893103. The next prime is 3445705893221. The reversal of 3445705893168 is 8613985075443.

3445705893168 is a `hidden beast` number, since 3 + 4 + 4 + 570 + 58 + 9 + 3 + 1 + 6 + 8 = 666.

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 359 ways as a sum of consecutive naturals, for example, 73312891321 + ... + 73312891367.

Almost surely, 2^{3445705893168} 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 3445705893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755873586000).

3445705893168 is an abundant number, since it is smaller than the sum of its proper divisors (10066041278832).

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

3445705893168 is a wasteful number, since it uses less digits than its factorization.

3445705893168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3445705893168 in words is "three trillion, four hundred forty-five billion, seven hundred five million, eight hundred ninety-three thousand, one hundred sixty-eight".