34442014412300 has 36 divisors (see below), whose sum is σ = 81533641393176. Its totient is φ = 12524368876800.

The previous prime is 34442014412297. The next prime is 34442014412327. The reversal of 34442014412300 is 321441024443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15655459997 + ... + 15655462196.

Almost surely, 2^{34442014412300} is an apocalyptic number.

It is an amenable number.

34442014412300 is an abundant number, since it is smaller than the sum of its proper divisors (47091626980876).

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

34442014412300 is a wasteful number, since it uses less digits than its factorization.

34442014412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31310922218 (or 31310922211 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34442014412300 its reverse (321441024443), we get a palindrome (34763455436743).

The spelling of 34442014412300 in words is "thirty-four trillion, four hundred forty-two billion, fourteen million, four hundred twelve thousand, three hundred".