34314144304 has 80 divisors (see below), whose sum is σ = 72976329216. Its totient is φ = 15501190400.

The previous prime is 34314144289. The next prime is 34314144313. The reversal of 34314144304 is 40344141343.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24045639 + ... + 24047065.

Almost surely, 2^34314144304 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 34314144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36488164608).

34314144304 is an abundant number, since it is smaller than the sum of its proper divisors (38662184912).

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

34314144304 is a wasteful number, since it uses less digits than its factorization.

34314144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34314144304 its reverse (40344141343), we get a palindrome (74658285647).

The spelling of 34314144304 in words is "thirty-four billion, three hundred fourteen million, one hundred forty-four thousand, three hundred four".