3474672165504 has 192 divisors, whose sum is σ = 10441581696000. Its totient is φ = 1107003955200.

The previous prime is 3474672165493. The next prime is 3474672165589. The reversal of 3474672165504 is 4055612764743.

3474672165504 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 6 + 72 + 1 + 65 + 504 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34420897 + ... + 34521695.

It is an arithmetic number, because the mean of its divisors is an integer number (54383238000).

Almost surely, 2^{3474672165504} 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 3474672165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220790848000).

3474672165504 is an abundant number, since it is smaller than the sum of its proper divisors (6966909530496).

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

3474672165504 is a wasteful number, since it uses less digits than its factorization.

3474672165504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102143 (or 102128 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 3474672165504 in words is "three trillion, four hundred seventy-four billion, six hundred seventy-two million, one hundred sixty-five thousand, five hundred four".