3447090849168 has 120 divisors (see below), whose sum is σ = 9751739981880. Its totient is φ = 1136584396800.

The previous prime is 3447090849157. The next prime is 3447090849187. The reversal of 3447090849168 is 8619480907443.

3447090849168 is a `hidden beast` number, since 3 + 447 + 0 + 90 + 8 + 49 + 1 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1575798174864 + 1871292674304 = 1255308^2 + 1367952^2 .

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, 15436680 + ... + 15658392.

It is an arithmetic number, because the mean of its divisors is an integer number (81264499849).

Almost surely, 2^{3447090849168} 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 3447090849168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875869990940).

3447090849168 is an abundant number, since it is smaller than the sum of its proper divisors (6304649132712).

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

3447090849168 is a wasteful number, since it uses less digits than its factorization.

3447090849168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222897 (or 222888 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3447090849168 in words is "three trillion, four hundred forty-seven billion, ninety million, eight hundred forty-nine thousand, one hundred sixty-eight".