34314441344 has 32 divisors (see below), whose sum is σ = 69037666740. Its totient is φ = 16987340800.

The previous prime is 34314441323. The next prime is 34314441349. The reversal of 34314441344 is 44314441343.

It can be written as a sum of positive squares in 2 ways, for example, as 25828346944 + 8486094400 = 160712^2 + 92120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34314441349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314209 + ... + 1340064.

Almost surely, 2^34314441344 is an apocalyptic number.

It is an amenable number.

34314441344 is an abundant number, since it is smaller than the sum of its proper divisors (34723225396).

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

34314441344 is a wasteful number, since it uses less digits than its factorization.

34314441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654388 (or 2654376 counting only the distinct ones).

The product of its digits is 110592, while the sum is 35.

Adding to 34314441344 its reverse (44314441343), we get a palindrome (78628882687).

Subtracting 34314441344 from its reverse (44314441343), we obtain a palindrome (9999999999).

The spelling of 34314441344 in words is "thirty-four billion, three hundred fourteen million, four hundred forty-one thousand, three hundred forty-four".