3114400000 has 216 divisors, whose sum is σ = 8263299240. Its totient is φ = 1167360000.

The previous prime is 3114399947. The next prime is 3114400063. The reversal of 3114400000 is 44113.

It can be written as a sum of positive squares in 12 ways, for example, as 2535323904 + 579076096 = 50352^2 + 24064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13599886 + ... + 13600114.

It is an arithmetic number, because the mean of its divisors is an integer number (38256015).

Almost surely, 2^3114400000 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 3114400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131649620).

3114400000 is an abundant number, since it is smaller than the sum of its proper divisors (5148899240).

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

3114400000 is an frugal number, since it uses more digits than its factorization.

3114400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3114400000 is about 55806.8096203322. The cubic root of 3114400000 is about 1460.3539518391.

Adding to 3114400000 its reverse (44113), we get a palindrome (3114444113).

The spelling of 3114400000 in words is "three billion, one hundred fourteen million, four hundred thousand".