34127640500 has 96 divisors (see below), whose sum is σ = 75204729600. Its totient is φ = 13528944000.

The previous prime is 34127640493. The next prime is 34127640509. The reversal of 34127640500 is 504672143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34127640509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39729071 + ... + 39729929.

It is an arithmetic number, because the mean of its divisors is an integer number (783382600).

Almost surely, 2^34127640500 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 34127640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602364800).

34127640500 is an abundant number, since it is smaller than the sum of its proper divisors (41077089100).

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

34127640500 is a wasteful number, since it uses less digits than its factorization.

34127640500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 34127640500 in words is "thirty-four billion, one hundred twenty-seven million, six hundred forty thousand, five hundred".