34331129664 has 56 divisors (see below), whose sum is σ = 97821719520. Its totient is φ = 10563423744.

The previous prime is 34331129647. The next prime is 34331129669. The reversal of 34331129664 is 46692113343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331129669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6874734 + ... + 6879725.

It is an arithmetic number, because the mean of its divisors is an integer number (1746816420).

Almost surely, 2^34331129664 is an apocalyptic number.

It is an amenable number.

34331129664 is an abundant number, since it is smaller than the sum of its proper divisors (63490589856).

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

34331129664 is a wasteful number, since it uses less digits than its factorization.

34331129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13754487 (or 13754477 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The spelling of 34331129664 in words is "thirty-four billion, three hundred thirty-one million, one hundred twenty-nine thousand, six hundred sixty-four".