3483814775168 has 256 divisors, whose sum is σ = 8927784714240. Its totient is φ = 1316168663040.

The previous prime is 3483814775131. The next prime is 3483814775171. The reversal of 3483814775168 is 8615774183843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171716321 + ... + 171736607.

It is an arithmetic number, because the mean of its divisors is an integer number (34874159040).

Almost surely, 2^{3483814775168} 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 3483814775168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463892357120).

3483814775168 is an abundant number, since it is smaller than the sum of its proper divisors (5443969939072).

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

3483814775168 is a wasteful number, since it uses less digits than its factorization.

3483814775168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985 (or 20973 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 65.

The spelling of 3483814775168 in words is "three trillion, four hundred eighty-three billion, eight hundred fourteen million, seven hundred seventy-five thousand, one hundred sixty-eight".