3314144340 has 144 divisors (see below), whose sum is σ = 10867413648. Its totient is φ = 812685312.

The previous prime is 3314144297. The next prime is 3314144341. The reversal of 3314144340 is 434414133.

3314144340 is a `hidden beast` number, since 3 + 314 + 1 + 4 + 4 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1666109124 + 1648035216 = 40818^2 + 40596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314144341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645624 + ... + 650736.

Almost surely, 2^3314144340 is an apocalyptic number.

3314144340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433706824).

3314144340 is an abundant number, since it is smaller than the sum of its proper divisors (7553269308).

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

3314144340 is a wasteful number, since it uses less digits than its factorization.

3314144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3314144340 is about 57568.6055068212. The cubic root of 3314144340 is about 1490.9296092281.

Adding to 3314144340 its reverse (434414133), we get a palindrome (3748558473).

The spelling of 3314144340 in words is "three billion, three hundred fourteen million, one hundred forty-four thousand, three hundred forty".