34131404112 has 160 divisors (see below), whose sum is σ = 98032142208. Its totient is φ = 10166059008.

The previous prime is 34131404107. The next prime is 34131404119. The reversal of 34131404112 is 21140413143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131404119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3026388 + ... + 3037644.

Almost surely, 2^34131404112 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 34131404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49016071104).

34131404112 is an abundant number, since it is smaller than the sum of its proper divisors (63900738096).

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

34131404112 is a wasteful number, since it uses less digits than its factorization.

34131404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11431 counting only the distinct ones).

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

Adding to 34131404112 its reverse (21140413143), we get a palindrome (55271817255).

The spelling of 34131404112 in words is "thirty-four billion, one hundred thirty-one million, four hundred four thousand, one hundred twelve".