34190841126 has 64 divisors (see below), whose sum is σ = 77771232000. Its totient is φ = 9933964416.

The previous prime is 34190841101. The next prime is 34190841149. The reversal of 34190841126 is 62114809143.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417400 + ... + 492548.

It is an arithmetic number, because the mean of its divisors is an integer number (1215175500).

Almost surely, 2^34190841126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34190841126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38885616000).

34190841126 is an abundant number, since it is smaller than the sum of its proper divisors (43580390874).

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

34190841126 is a wasteful number, since it uses less digits than its factorization.

34190841126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75493.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 34190841126 in words is "thirty-four billion, one hundred ninety million, eight hundred forty-one thousand, one hundred twenty-six".