3684144160 has 96 divisors (see below), whose sum is σ = 9013939200. Its totient is φ = 1421460480.

The previous prime is 3684144127. The next prime is 3684144173. The reversal of 3684144160 is 614414863.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1779606 + ... + 1781674.

It is an arithmetic number, because the mean of its divisors is an integer number (93895200).

Almost surely, 2^3684144160 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 3684144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506969600).

3684144160 is an abundant number, since it is smaller than the sum of its proper divisors (5329795040).

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

3684144160 is a wasteful number, since it uses less digits than its factorization.

3684144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 3684144160 is about 60697.1511687328. The cubic root of 3684144160 is about 1544.4678484148.

The spelling of 3684144160 in words is "three billion, six hundred eighty-four million, one hundred forty-four thousand, one hundred sixty".