3417270054144 has 288 divisors, whose sum is σ = 9572539616640. Its totient is φ = 1080878432256.

The previous prime is 3417270054109. The next prime is 3417270054167. The reversal of 3417270054144 is 4414500727143.

It is a junction number, because it is equal to n+sod(n) for n = 3417270054096 and 3417270054105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988505664 + ... + 988509120.

It is an arithmetic number, because the mean of its divisors is an integer number (33237984780).

Almost surely, 2^{3417270054144} 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 3417270054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786269808320).

3417270054144 is an abundant number, since it is smaller than the sum of its proper divisors (6155269562496).

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

3417270054144 is a wasteful number, since it uses less digits than its factorization.

3417270054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 3417270054144 in words is "three trillion, four hundred seventeen billion, two hundred seventy million, fifty-four thousand, one hundred forty-four".