3114305440 has 96 divisors (see below), whose sum is σ = 7530803280. Its totient is φ = 1216610304.

The previous prime is 3114305437. The next prime is 3114305443. The reversal of 3114305440 is 445034113.

It is an interprime number because it is at equal distance from previous prime (3114305437) and next prime (3114305443).

It can be written as a sum of positive squares in 8 ways, for example, as 1904100496 + 1210204944 = 43636^2 + 34788^2 .

It is a super-2 number, since 2×3114305440² = 19397796747227187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3114305443) 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 15 ways as a sum of consecutive naturals, for example, 2178646 + ... + 2180074.

Almost surely, 2^3114305440 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 3114305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765401640).

3114305440 is an abundant number, since it is smaller than the sum of its proper divisors (4416497840).

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

3114305440 is a wasteful number, since it uses less digits than its factorization.

3114305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3114305440 is about 55805.9624054635. The cubic root of 3114305440 is about 1460.3391718422.

Adding to 3114305440 its reverse (445034113), we get a palindrome (3559339553).

The spelling of 3114305440 in words is "three billion, one hundred fourteen million, three hundred five thousand, four hundred forty".