34234705080 has 192 divisors, whose sum is σ = 115533250560. Its totient is φ = 9117422208.

The previous prime is 34234705073. The next prime is 34234705123. The reversal of 34234705080 is 8050743243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9552969 + ... + 9556551.

It is an arithmetic number, because the mean of its divisors is an integer number (601735680).

Almost surely, 2^34234705080 is an apocalyptic number.

34234705080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34234705080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57766625280).

34234705080 is an abundant number, since it is smaller than the sum of its proper divisors (81298545480).

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

34234705080 is a wasteful number, since it uses less digits than its factorization.

34234705080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34234705080 in words is "thirty-four billion, two hundred thirty-four million, seven hundred five thousand, eighty".