34100172126 has 64 divisors (see below), whose sum is σ = 80285990400. Its totient is φ = 10691388288.

The previous prime is 34100172103. The next prime is 34100172173. The reversal of 34100172126 is 62127100143.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34100172126.

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, 1570935 + ... + 1592493.

It is an arithmetic number, because the mean of its divisors is an integer number (1254468600).

Almost surely, 2^34100172126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100172126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40142995200).

34100172126 is an abundant number, since it is smaller than the sum of its proper divisors (46185818274).

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

34100172126 is a wasteful number, since it uses less digits than its factorization.

34100172126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23310 (or 23304 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 34100172126 its reverse (62127100143), we get a palindrome (96227272269).

It can be divided in two parts, 3410017 and 2126, that added together give a palindrome (3412143).

The spelling of 34100172126 in words is "thirty-four billion, one hundred million, one hundred seventy-two thousand, one hundred twenty-six".