3349574144 has 120 divisors (see below), whose sum is σ = 8196194160. Its totient is φ = 1359783936.

The previous prime is 3349574143. The next prime is 3349574159. The reversal of 3349574144 is 4414759433.

It is a super-2 number, since 2×3349574144² = 22439293892306665472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3349574095 and 3349574104.

It is not an unprimeable number, because it can be changed into a prime (3349574143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473159 + ... + 480185.

It is an arithmetic number, because the mean of its divisors is an integer number (68301618).

Almost surely, 2^3349574144 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 3349574144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098097080).

3349574144 is an abundant number, since it is smaller than the sum of its proper divisors (4846620016).

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

3349574144 is an equidigital number, since it uses as much as digits as its factorization.

3349574144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7055 counting only the distinct ones).

The product of its digits is 725760, while the sum is 44.

The square root of 3349574144 is about 57875.5055615068. The cubic root of 3349574144 is about 1496.2237075735.

The spelling of 3349574144 in words is "three billion, three hundred forty-nine million, five hundred seventy-four thousand, one hundred forty-four".