34869727000 has 64 divisors (see below), whose sum is σ = 81838074240. Its totient is φ = 13906368000.

The previous prime is 34869726929. The next prime is 34869727003. The reversal of 34869727000 is 72796843.

It is a super-2 number, since 2×34869727000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34869727003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285265 + ... + 388735.

It is an arithmetic number, because the mean of its divisors is an integer number (1278719910).

Almost surely, 2^34869727000 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 34869727000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40919037120).

34869727000 is an abundant number, since it is smaller than the sum of its proper divisors (46968347240).

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

34869727000 is a wasteful number, since it uses less digits than its factorization.

34869727000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103829 (or 103815 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 34869727000 in words is "thirty-four billion, eight hundred sixty-nine million, seven hundred twenty-seven thousand".