3485181184 has 72 divisors (see below), whose sum is σ = 7089671232. Its totient is φ = 1709568000.

The previous prime is 3485181163. The next prime is 3485181187. The reversal of 3485181184 is 4811815843.

3485181184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3485181184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485181187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4690317 + ... + 4691059.

It is an arithmetic number, because the mean of its divisors is an integer number (98467656).

Almost surely, 2^3485181184 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 3485181184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544835616).

3485181184 is an abundant number, since it is smaller than the sum of its proper divisors (3604490048).

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

3485181184 is an equidigital number, since it uses as much as digits as its factorization.

3485181184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1069 counting only the distinct ones).

The product of its digits is 122880, while the sum is 43.

The square root of 3485181184 is about 59035.4231288300. The cubic root of 3485181184 is about 1516.1486616351.

The spelling of 3485181184 in words is "three billion, four hundred eighty-five million, one hundred eighty-one thousand, one hundred eighty-four".