34234261416330 has 128 divisors (see below), whose sum is σ = 85683567108096. Its totient is φ = 8743988448000.

The previous prime is 34234261416241. The next prime is 34234261416337. The reversal of 34234261416330 is 3361416243243.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (34234261416337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263220777 + ... + 263350803.

It is an arithmetic number, because the mean of its divisors is an integer number (669402868032).

Almost surely, 2^{34234261416330} is an apocalyptic number.

34234261416330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34234261416330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42841783554048).

34234261416330 is an abundant number, since it is smaller than the sum of its proper divisors (51449305691766).

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

34234261416330 is a wasteful number, since it uses less digits than its factorization.

34234261416330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132972.

The product of its (nonzero) digits is 746496, while the sum is 42.

Adding to 34234261416330 its reverse (3361416243243), we get a palindrome (37595677659573).

The spelling of 34234261416330 in words is "thirty-four trillion, two hundred thirty-four billion, two hundred sixty-one million, four hundred sixteen thousand, three hundred thirty".