34629879677268 has 48 divisors (see below), whose sum is σ = 85057861734720. Its totient is φ = 10935492159744.

The previous prime is 34629879677171. The next prime is 34629879677273. The reversal of 34629879677268 is 86277697892643.

It is a congruent number.

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, 7950880 + ... + 11509832.

It is an arithmetic number, because the mean of its divisors is an integer number (1772038786140).

Almost surely, 2^{34629879677268} is an apocalyptic number.

34629879677268 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34629879677268 is an abundant number, since it is smaller than the sum of its proper divisors (50427982057452).

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

34629879677268 is a wasteful number, since it uses less digits than its factorization.

34629879677268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601656 (or 3601654 counting only the distinct ones).

The product of its digits is 18435465216, while the sum is 84.

The spelling of 34629879677268 in words is "thirty-four trillion, six hundred twenty-nine billion, eight hundred seventy-nine million, six hundred seventy-seven thousand, two hundred sixty-eight".