3416065375104 has 192 divisors, whose sum is σ = 9904605902880. Its totient is φ = 1130070528000.

The previous prime is 3416065375097. The next prime is 3416065375133. The reversal of 3416065375104 is 4015735606143.

3416065375104 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 0 + 6 + 537 + 5 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3416065375104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194295594 + ... + 194313174.

Almost surely, 2^{3416065375104} 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 3416065375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952302951440).

3416065375104 is an abundant number, since it is smaller than the sum of its proper divisors (6488540527776).

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

3416065375104 is a wasteful number, since it uses less digits than its factorization.

3416065375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18869 (or 18854 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3416065375104 in words is "three trillion, four hundred sixteen billion, sixty-five million, three hundred seventy-five thousand, one hundred four".