34106415642312 has 64 divisors (see below), whose sum is σ = 93195487116480. Its totient is φ = 10337650659072.

The previous prime is 34106415642269. The next prime is 34106415642323. The reversal of 34106415642312 is 21324651460143.

It is a super-2 number, since 2×34106415642312² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815765923 + ... + 815807730.

It is an arithmetic number, because the mean of its divisors is an integer number (1456179486195).

Almost surely, 2^{34106415642312} is an apocalyptic number.

It is an amenable number.

34106415642312 is an abundant number, since it is smaller than the sum of its proper divisors (59089071474168).

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

34106415642312 is a wasteful number, since it uses less digits than its factorization.

34106415642312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631573742 (or 1631573738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 34106415642312 in words is "thirty-four trillion, one hundred six billion, four hundred fifteen million, six hundred forty-two thousand, three hundred twelve".