34401114320 has 80 divisors (see below), whose sum is σ = 85437277200. Its totient is φ = 12836339712.

The previous prime is 34401114301. The next prime is 34401114343. The reversal of 34401114320 is 2341110443.

It can be written as a sum of positive squares in 8 ways, for example, as 9792289936 + 24608824384 = 98956^2 + 156872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 41756 + ... + 265604.

It is an arithmetic number, because the mean of its divisors is an integer number (1067965965).

Almost surely, 2^34401114320 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 34401114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42718638600).

34401114320 is an abundant number, since it is smaller than the sum of its proper divisors (51036162880).

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

34401114320 is a wasteful number, since it uses less digits than its factorization.

34401114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223992 (or 223986 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34401114320 its reverse (2341110443), we get a palindrome (36742224763).

The spelling of 34401114320 in words is "thirty-four billion, four hundred one million, one hundred fourteen thousand, three hundred twenty".