3218381120 has 112 divisors (see below), whose sum is σ = 8111093760. Its totient is φ = 1212954624.

The previous prime is 3218381093. The next prime is 3218381143. The reversal of 3218381120 is 211838123.

3218381120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1196417 + ... + 1199103.

It is an arithmetic number, because the mean of its divisors is an integer number (72420480).

Almost surely, 2^3218381120 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 3218381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055546880).

3218381120 is an abundant number, since it is smaller than the sum of its proper divisors (4892712640).

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

3218381120 is a wasteful number, since it uses less digits than its factorization.

3218381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 3218381120 is about 56730.7775374179. Note that the first 3 decimals coincide. The cubic root of 3218381120 is about 1476.4287402986.

The spelling of 3218381120 in words is "three billion, two hundred eighteen million, three hundred eighty-one thousand, one hundred twenty".