3114642336 has 192 divisors, whose sum is σ = 9672929280. Its totient is φ = 868285440.

The previous prime is 3114642329. The next prime is 3114642337. The reversal of 3114642336 is 6332464113.

3114642336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3114642297 and 3114642306.

It is not an unprimeable number, because it can be changed into a prime (3114642337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542521 + ... + 548231.

It is an arithmetic number, because the mean of its divisors is an integer number (50379840).

Almost surely, 2^3114642336 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 3114642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836464640).

3114642336 is an abundant number, since it is smaller than the sum of its proper divisors (6558286944).

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

3114642336 is a wasteful number, since it uses less digits than its factorization.

3114642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5771 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3114642336 is about 55808.9807826662. The cubic root of 3114642336 is about 1460.3918282794.

The spelling of 3114642336 in words is "three billion, one hundred fourteen million, six hundred forty-two thousand, three hundred thirty-six".