34010403104112 has 160 divisors (see below), whose sum is σ = 90857351424000. Its totient is φ = 10951404871680.

The previous prime is 34010403104107. The next prime is 34010403104123. The reversal of 34010403104112 is 21140130401043.

It is a super-2 number, since 2×34010403104112² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2089981608 + ... + 2089997880.

It is an arithmetic number, because the mean of its divisors is an integer number (567858446400).

Almost surely, 2^{34010403104112} 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 34010403104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45428675712000).

34010403104112 is an abundant number, since it is smaller than the sum of its proper divisors (56846948319888).

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

34010403104112 is a wasteful number, since it uses less digits than its factorization.

34010403104112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18751 (or 18745 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34010403104112 its reverse (21140130401043), we get a palindrome (55150533505155).

The spelling of 34010403104112 in words is "thirty-four trillion, ten billion, four hundred three million, one hundred four thousand, one hundred twelve".