34307000000 has 588 divisors, whose sum is σ = 108940793040. Its totient is φ = 10483200000.

The previous prime is 34306999981. The next prime is 34307000023. The reversal of 34307000000 is 70343.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1182999986 + ... + 1183000014.

Almost surely, 2^34307000000 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 34307000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54470396520).

34307000000 is an abundant number, since it is smaller than the sum of its proper divisors (74633793040).

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

34307000000 is an frugal number, since it uses more digits than its factorization.

34307000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 17.

Adding to 34307000000 its reverse (70343), we get a palindrome (34307070343).

The spelling of 34307000000 in words is "thirty-four billion, three hundred seven million", and thus it is an aban number.