3114309744 has 240 divisors, whose sum is σ = 10978519552. Its totient is φ = 802109952.

The previous prime is 3114309743. The next prime is 3114309769. The reversal of 3114309744 is 4479034113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3114309699 and 3114309708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114309743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560709 + ... + 566235.

Almost surely, 2^3114309744 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 3114309744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489259776).

3114309744 is an abundant number, since it is smaller than the sum of its proper divisors (7864209808).

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

3114309744 is a wasteful number, since it uses less digits than its factorization.

3114309744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3114309744 is about 55806.0009676379. Note that the first 3 decimals coincide. The cubic root of 3114309744 is about 1460.3398445761.

The spelling of 3114309744 in words is "three billion, one hundred fourteen million, three hundred nine thousand, seven hundred forty-four".