34001086064 has 80 divisors (see below), whose sum is σ = 74128335840. Its totient is φ = 14972129280.

The previous prime is 34001085997. The next prime is 34001086069. The reversal of 34001086064 is 46068010043.

It is a self number, because there is not a number n which added to its sum of digits gives 34001086064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001086069) 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, 1506092 + ... + 1528500.

It is an arithmetic number, because the mean of its divisors is an integer number (926604198).

Almost surely, 2^34001086064 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 34001086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37064167920).

34001086064 is an abundant number, since it is smaller than the sum of its proper divisors (40127249776).

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

34001086064 is a wasteful number, since it uses less digits than its factorization.

34001086064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22698 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 34001086064 in words is "thirty-four billion, one million, eighty-six thousand, sixty-four".