34086338560 has 240 divisors, whose sum is σ = 86819443200. Its totient is φ = 12820414464.

The previous prime is 34086338527. The next prime is 34086338569. The reversal of 34086338560 is 6583368043.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 34086338560.

It is not an unprimeable number, because it can be changed into a prime (34086338569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148848526 + ... + 148848754.

It is an arithmetic number, because the mean of its divisors is an integer number (361747680).

Almost surely, 2^34086338560 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 34086338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43409721600).

34086338560 is an abundant number, since it is smaller than the sum of its proper divisors (52733104640).

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

34086338560 is an equidigital number, since it uses as much as digits as its factorization.

34086338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 34086338560 in words is "thirty-four billion, eighty-six million, three hundred thirty-eight thousand, five hundred sixty".