3133180416 has 160 divisors (see below), whose sum is σ = 8917286400. Its totient is φ = 975421440.

The previous prime is 3133180403. The next prime is 3133180441. The reversal of 3133180416 is 6140813313.

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, 1379730 + ... + 1381998.

It is an arithmetic number, because the mean of its divisors is an integer number (55733040).

Almost surely, 2^3133180416 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 3133180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458643200).

3133180416 is an abundant number, since it is smaller than the sum of its proper divisors (5784105984).

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

3133180416 is a wasteful number, since it uses less digits than its factorization.

3133180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3133180416 is about 55974.8194816205. The cubic root of 3133180416 is about 1463.2834739070.

Adding to 3133180416 its reverse (6140813313), we get a palindrome (9273993729).

The spelling of 3133180416 in words is "three billion, one hundred thirty-three million, one hundred eighty thousand, four hundred sixteen".