34214011001106 has 96 divisors (see below), whose sum is σ = 73327381479360. Its totient is φ = 10605803618304.

The previous prime is 34214011001083. The next prime is 34214011001117. The reversal of 34214011001106 is 60110011041243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594036646 + ... + 594094238.

It is an arithmetic number, because the mean of its divisors is an integer number (763826890410).

Almost surely, 2^{34214011001106} is an apocalyptic number.

34214011001106 is an abundant number, since it is smaller than the sum of its proper divisors (39113370478254).

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

34214011001106 is a wasteful number, since it uses less digits than its factorization.

34214011001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58428 (or 58331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 34214011001106 its reverse (60110011041243), we get a palindrome (94324022042349).

The spelling of 34214011001106 in words is "thirty-four trillion, two hundred fourteen billion, eleven million, one thousand, one hundred six".