34331686464 has 112 divisors (see below), whose sum is σ = 91908831168. Its totient is φ = 11309088768.

The previous prime is 34331686421. The next prime is 34331686471. The reversal of 34331686464 is 46468613343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22105912 + ... + 22107464.

It is an arithmetic number, because the mean of its divisors is an integer number (820614564).

Almost surely, 2^34331686464 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 34331686464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45954415584).

34331686464 is an abundant number, since it is smaller than the sum of its proper divisors (57577144704).

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

34331686464 is a wasteful number, since it uses less digits than its factorization.

34331686464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2842 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 34331686464 in words is "thirty-four billion, three hundred thirty-one million, six hundred eighty-six thousand, four hundred sixty-four".