34004101614 has 64 divisors (see below), whose sum is σ = 78929510400. Its totient is φ = 9565422048.

The previous prime is 34004101613. The next prime is 34004101633. The reversal of 34004101614 is 41610140043.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004101613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176889 + ... + 1205435.

It is an arithmetic number, because the mean of its divisors is an integer number (1233273600).

Almost surely, 2^34004101614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004101614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39464755200).

34004101614 is an abundant number, since it is smaller than the sum of its proper divisors (44925408786).

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

34004101614 is a wasteful number, since it uses less digits than its factorization.

34004101614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28997.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34004101614 its reverse (41610140043), we get a palindrome (75614241657).

It can be divided in two parts, 3400 and 4101614, that added together give a palindrome (4105014).

The spelling of 34004101614 in words is "thirty-four billion, four million, one hundred one thousand, six hundred fourteen".