34309030080 has 896 divisors, whose sum is σ = 132726988800. Its totient is φ = 7422345216.

The previous prime is 34309030073. The next prime is 34309030099. The reversal of 34309030080 is 8003090343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385494676 + ... + 385494764.

It is an arithmetic number, because the mean of its divisors is an integer number (148132800).

Almost surely, 2^34309030080 is an apocalyptic number.

34309030080 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 34309030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66363494400).

34309030080 is an abundant number, since it is smaller than the sum of its proper divisors (98417958720).

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

34309030080 is a wasteful number, since it uses less digits than its factorization.

34309030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 34309030080 in words is "thirty-four billion, three hundred nine million, thirty thousand, eighty".