34110341340400 has 120 divisors (see below), whose sum is σ = 88264210885200. Its totient is φ = 12593123051520.

The previous prime is 34110341340349. The next prime is 34110341340407. The reversal of 34110341340400 is 404314301143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110341340407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44857764 + ... + 45611836.

It is an arithmetic number, because the mean of its divisors is an integer number (735535090710).

Almost surely, 2^{34110341340400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34110341340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44132105442600).

34110341340400 is an abundant number, since it is smaller than the sum of its proper divisors (54153869544800).

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

34110341340400 is a wasteful number, since it uses less digits than its factorization.

34110341340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762803 (or 762792 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34110341340400 its reverse (404314301143), we get a palindrome (34514655641543).

The spelling of 34110341340400 in words is "thirty-four trillion, one hundred ten billion, three hundred forty-one million, three hundred forty thousand, four hundred".