34134810414 has 64 divisors (see below), whose sum is σ = 70718054400. Its totient is φ = 10978034688.

The previous prime is 34134810407. The next prime is 34134810419. The reversal of 34134810414 is 41401843143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134810419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7355907 + ... + 7360545.

It is an arithmetic number, because the mean of its divisors is an integer number (1104969600).

Almost surely, 2^34134810414 is an apocalyptic number.

34134810414 is an abundant number, since it is smaller than the sum of its proper divisors (36583243986).

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

34134810414 is a wasteful number, since it uses less digits than its factorization.

34134810414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 34134810414 in words is "thirty-four billion, one hundred thirty-four million, eight hundred ten thousand, four hundred fourteen".