34401344314220 has 72 divisors (see below), whose sum is σ = 78229624785984. Its totient is φ = 12701679364608.

The previous prime is 34401344314213. The next prime is 34401344314273. The reversal of 34401344314220 is 2241344310443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141490397 + ... + 141733323.

It is an arithmetic number, because the mean of its divisors is an integer number (1086522566472).

Almost surely, 2^{34401344314220} is an apocalyptic number.

It is an amenable number.

34401344314220 is an abundant number, since it is smaller than the sum of its proper divisors (43828280471764).

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

34401344314220 is a wasteful number, since it uses less digits than its factorization.

34401344314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284859 (or 284844 counting only the distinct ones).

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

Adding to 34401344314220 its reverse (2241344310443), we get a palindrome (36642688624663).

The spelling of 34401344314220 in words is "thirty-four trillion, four hundred one billion, three hundred forty-four million, three hundred fourteen thousand, two hundred twenty".