34672105072657 has 16 divisors (see below), whose sum is σ = 39801934816000. Its totient is φ = 29936740938624.

The previous prime is 34672105072559. The next prime is 34672105072751. The reversal of 34672105072657 is 75627050127643.

It is not a de Polignac number, because 34672105072657 - 2⁷ = 34672105072529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34672105072598 and 34672105072607.

It is not an unprimeable number, because it can be changed into a prime (34672105072357) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 888416532 + ... + 888455557.

It is an arithmetic number, because the mean of its divisors is an integer number (2487620926000).

Almost surely, 2^{34672105072657} is an apocalyptic number.

It is an amenable number.

34672105072657 is a deficient number, since it is larger than the sum of its proper divisors (5129829743343).

34672105072657 is a wasteful number, since it uses less digits than its factorization.

34672105072657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776872200.

The product of its (nonzero) digits is 14817600, while the sum is 55.

The spelling of 34672105072657 in words is "thirty-four trillion, six hundred seventy-two billion, one hundred five million, seventy-two thousand, six hundred fifty-seven".