34004202414 has 64 divisors (see below), whose sum is σ = 83830172160. Its totient is φ = 8954478720.

The previous prime is 34004202413. The next prime is 34004202433. The reversal of 34004202414 is 41420240043.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004202413) 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, 313797 + ... + 408015.

It is an arithmetic number, because the mean of its divisors is an integer number (1309846440).

Almost surely, 2^34004202414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004202414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41915086080).

34004202414 is an abundant number, since it is smaller than the sum of its proper divisors (49825969746).

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

34004202414 is a wasteful number, since it uses less digits than its factorization.

34004202414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94905.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34004202414 its reverse (41420240043), we get a palindrome (75424442457).

The spelling of 34004202414 in words is "thirty-four billion, four million, two hundred two thousand, four hundred fourteen".