3414313319 has 16 divisors (see below), whose sum is σ = 3669868800. Its totient is φ = 3167055936.

The previous prime is 3414313313. The next prime is 3414313321. The reversal of 3414313319 is 9133134143.

It is a cyclic number.

It is not a de Polignac number, because 3414313319 - 2¹⁶ = 3414247783 is a prime.

It is a super-2 number, since 2×3414313319² = 23315070880601591522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414313313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164372 + ... + 183974.

It is an arithmetic number, because the mean of its divisors is an integer number (229366800).

Almost surely, 2^3414313319 is an apocalyptic number.

3414313319 is a deficient number, since it is larger than the sum of its proper divisors (255555481).

3414313319 is a wasteful number, since it uses less digits than its factorization.

3414313319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19814.

The product of its digits is 11664, while the sum is 32.

The square root of 3414313319 is about 58432.1257443198. The cubic root of 3414313319 is about 1505.8017264562.

The spelling of 3414313319 in words is "three billion, four hundred fourteen million, three hundred thirteen thousand, three hundred nineteen".