34334313312 has 48 divisors (see below), whose sum is σ = 97060466160. Its totient is φ = 10564403712.

The previous prime is 34334313259. The next prime is 34334313341. The reversal of 34334313312 is 21331343343.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34334313312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13754487 + ... + 13756982.

It is an arithmetic number, because the mean of its divisors is an integer number (2022093045).

Almost surely, 2^34334313312 is an apocalyptic number.

34334313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34334313312 is an abundant number, since it is smaller than the sum of its proper divisors (62726152848).

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

34334313312 is a wasteful number, since it uses less digits than its factorization.

34334313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27511495 (or 27511487 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

Adding to 34334313312 its reverse (21331343343), we get a palindrome (55665656655).

The spelling of 34334313312 in words is "thirty-four billion, three hundred thirty-four million, three hundred thirteen thousand, three hundred twelve".