34129006296 has 128 divisors (see below), whose sum is σ = 106450882560. Its totient is φ = 8858448000.

The previous prime is 34129006279. The next prime is 34129006321. The reversal of 34129006296 is 69260092143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3001021 + ... + 3012371.

It is an arithmetic number, because the mean of its divisors is an integer number (831647520).

Almost surely, 2^34129006296 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 34129006296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53225441280).

34129006296 is an abundant number, since it is smaller than the sum of its proper divisors (72321876264).

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

34129006296 is a wasteful number, since it uses less digits than its factorization.

34129006296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 13001 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 34129006296 in words is "thirty-four billion, one hundred twenty-nine million, six thousand, two hundred ninety-six".