34886309368064 has 144 divisors (see below), whose sum is σ = 86850122835840. Its totient is φ = 13587249070080.

The previous prime is 34886309368049. The next prime is 34886309368067. The reversal of 34886309368064 is 46086390368843.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34886309367985 and 34886309368003.

It is not an unprimeable number, because it can be changed into a prime (34886309368067) 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, 55531742 + ... + 56156450.

Almost surely, 2^{34886309368064} 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 34886309368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43425061417920).

34886309368064 is an abundant number, since it is smaller than the sum of its proper divisors (51963813467776).

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

34886309368064 is a wasteful number, since it uses less digits than its factorization.

34886309368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627576 (or 627562 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 68.

The spelling of 34886309368064 in words is "thirty-four trillion, eight hundred eighty-six billion, three hundred nine million, three hundred sixty-eight thousand, sixty-four".