3374480307168 has 288 divisors, whose sum is σ = 10080301271040. Its totient is φ = 1069536476160.

The previous prime is 3374480307161. The next prime is 3374480307179. The reversal of 3374480307168 is 8617030844733.

3374480307168 is a `hidden beast` number, since 3 + 3 + 7 + 4 + 480 + 30 + 71 + 68 = 666.

3374480307168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3374480307168² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374480307161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360093523 + ... + 360102893.

It is an arithmetic number, because the mean of its divisors is an integer number (35001046080).

Almost surely, 2^{3374480307168} 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 3374480307168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040150635520).

3374480307168 is an abundant number, since it is smaller than the sum of its proper divisors (6705820963872).

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

3374480307168 is a wasteful number, since it uses less digits than its factorization.

3374480307168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3374480307168 in words is "three trillion, three hundred seventy-four billion, four hundred eighty million, three hundred seven thousand, one hundred sixty-eight".