3478450143168 has 3360 divisors, whose sum is σ = 15384108757248. Its totient is φ = 760828723200.

The previous prime is 3478450143167. The next prime is 3478450143229. The reversal of 3478450143168 is 8613410548743.

3478450143168 is a `hidden beast` number, since 3 + 4 + 7 + 84 + 501 + 43 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478450143167) by changing a digit.

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 479 ways as a sum of consecutive naturals, for example, 26553054463 + ... + 26553054593.

Almost surely, 2^{3478450143168} 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 3478450143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692054378624).

3478450143168 is an abundant number, since it is smaller than the sum of its proper divisors (11905658614080).

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

3478450143168 is a wasteful number, since it uses less digits than its factorization.

3478450143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3478450143168 in words is "three trillion, four hundred seventy-eight billion, four hundred fifty million, one hundred forty-three thousand, one hundred sixty-eight".