34249428126 has 80 divisors (see below), whose sum is σ = 77253572880. Its totient is φ = 11340933120.

The previous prime is 34249428107. The next prime is 34249428151. The reversal of 34249428126 is 62182494243.

34249428126 is a `hidden beast` number, since 34 + 2 + 494 + 2 + 8 + 126 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24306910 + ... + 24308318.

It is an arithmetic number, because the mean of its divisors is an integer number (965669661).

Almost surely, 2^34249428126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34249428126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38626786440).

34249428126 is an abundant number, since it is smaller than the sum of its proper divisors (43004144754).

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

34249428126 is a wasteful number, since it uses less digits than its factorization.

34249428126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2302 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 34249428126 in words is "thirty-four billion, two hundred forty-nine million, four hundred twenty-eight thousand, one hundred twenty-six".