34102350414 has 48 divisors (see below), whose sum is σ = 80636984064. Its totient is φ = 10330016400.

The previous prime is 34102350377. The next prime is 34102350437. The reversal of 34102350414 is 41405320143.

It is a happy number.

34102350414 is a `hidden beast` number, since 3 + 4 + 10 + 235 + 0 + 414 = 666.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 496617 + ... + 561099.

It is an arithmetic number, because the mean of its divisors is an integer number (1679937168).

Almost surely, 2^34102350414 is an apocalyptic number.

34102350414 is an abundant number, since it is smaller than the sum of its proper divisors (46534633650).

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

34102350414 is a wasteful number, since it uses less digits than its factorization.

34102350414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67173 (or 67170 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34102350414 its reverse (41405320143), we get a palindrome (75507670557).

The spelling of 34102350414 in words is "thirty-four billion, one hundred two million, three hundred fifty thousand, four hundred fourteen".