34130272512 has 144 divisors (see below), whose sum is σ = 104980821120. Its totient is φ = 9641803776.

The previous prime is 34130272471. The next prime is 34130272529. The reversal of 34130272512 is 21527203143.

It is a self number, because there is not a number n which added to its sum of digits gives 34130272512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442798 + ... + 514130.

It is an arithmetic number, because the mean of its divisors is an integer number (729033480).

Almost surely, 2^34130272512 is an apocalyptic number.

34130272512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52490410560).

34130272512 is an abundant number, since it is smaller than the sum of its proper divisors (70850548608).

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

34130272512 is an equidigital number, since it uses as much as digits as its factorization.

34130272512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71448 (or 71434 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 34130272512 its reverse (21527203143), we get a palindrome (55657475655).

The spelling of 34130272512 in words is "thirty-four billion, one hundred thirty million, two hundred seventy-two thousand, five hundred twelve".