34234401344 has 112 divisors (see below), whose sum is σ = 79984738176. Its totient is φ = 14332723200.

The previous prime is 34234401301. The next prime is 34234401373. The reversal of 34234401344 is 44310443243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 34234401344.

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, 4453184 + ... + 4460864.

It is an arithmetic number, because the mean of its divisors is an integer number (714149448).

Almost surely, 2^34234401344 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 34234401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39992369088).

34234401344 is an abundant number, since it is smaller than the sum of its proper divisors (45750336832).

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

34234401344 is a wasteful number, since it uses less digits than its factorization.

34234401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 8194 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34234401344 its reverse (44310443243), we get a palindrome (78544844587).

The spelling of 34234401344 in words is "thirty-four billion, two hundred thirty-four million, four hundred one thousand, three hundred forty-four".