34348314 has 192 divisors, whose sum is σ = 101122560. Its totient is φ = 7620480.

The previous prime is 34348297. The next prime is 34348319. The reversal of 34348314 is 41384343.

It is not an unprimeable number, because it can be changed into a prime (34348319) 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, 798777 + ... + 798819.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 2^34348314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34348314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

34348314 is an abundant number, since it is smaller than the sum of its proper divisors (66774246).

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

34348314 is a wasteful number, since it uses less digits than its factorization.

34348314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 98 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34348314 is about 5860.7434681958. The cubic root of 34348314 is about 325.0637003344.

The spelling of 34348314 in words is "thirty-four million, three hundred forty-eight thousand, three hundred fourteen".