3414332313 has 96 divisors (see below), whose sum is σ = 6130275840. Its totient is φ = 1788272640.

The previous prime is 3414332291. The next prime is 3414332323. The reversal of 3414332313 is 3132334143.

3414332313 is a `hidden beast` number, since 3 + 4 + 14 + 332 + 313 = 666.

It is not a de Polignac number, because 3414332313 - 2⁸ = 3414332057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3414332323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8109843 + ... + 8110263.

It is an arithmetic number, because the mean of its divisors is an integer number (63857040).

Almost surely, 2^3414332313 is an apocalyptic number.

It is an amenable number.

3414332313 is a deficient number, since it is larger than the sum of its proper divisors (2715943527).

3414332313 is a wasteful number, since it uses less digits than its factorization.

3414332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3414332313 is about 58432.2882745490. The cubic root of 3414332313 is about 1505.8045187351.

Adding to 3414332313 its reverse (3132334143), we get a palindrome (6546666456).

The spelling of 3414332313 in words is "three billion, four hundred fourteen million, three hundred thirty-two thousand, three hundred thirteen".