34131326712 has 192 divisors, whose sum is σ = 102569575680. Its totient is φ = 9431106048.

The previous prime is 34131326711. The next prime is 34131326753. The reversal of 34131326712 is 21762313143.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131326711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205228 + ... + 5211780.

It is an arithmetic number, because the mean of its divisors is an integer number (534216540).

Almost surely, 2^34131326712 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 34131326712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51284787840).

34131326712 is an abundant number, since it is smaller than the sum of its proper divisors (68438248968).

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

34131326712 is a wasteful number, since it uses less digits than its factorization.

34131326712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6711 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

Adding to 34131326712 its reverse (21762313143), we get a palindrome (55893639855).

The spelling of 34131326712 in words is "thirty-four billion, one hundred thirty-one million, three hundred twenty-six thousand, seven hundred twelve".