3484111120 has 160 divisors (see below), whose sum is σ = 9706878720. Its totient is φ = 1137991680.

The previous prime is 3484111067. The next prime is 3484111133. The reversal of 3484111120 is 211114843.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 985516 + ... + 989044.

It is an arithmetic number, because the mean of its divisors is an integer number (60667992).

Almost surely, 2^3484111120 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 3484111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853439360).

3484111120 is an abundant number, since it is smaller than the sum of its proper divisors (6222767600).

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

3484111120 is a wasteful number, since it uses less digits than its factorization.

3484111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 3484111120 is about 59026.3595353805. The cubic root of 3484111120 is about 1515.9934767648.

Adding to 3484111120 its reverse (211114843), we get a palindrome (3695225963).

The spelling of 3484111120 in words is "three billion, four hundred eighty-four million, one hundred eleven thousand, one hundred twenty".