34634813675361 has 16 divisors (see below), whose sum is σ = 47330136891648. Its totient is φ = 22518179734400.

The previous prime is 34634813675327. The next prime is 34634813675411. The reversal of 34634813675361 is 16357631843643.

It is a cyclic number.

It is not a de Polignac number, because 34634813675361 - 2²¹ = 34634811578209 is a prime.

It is a super-4 number, since 4×34634813675361⁴ (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34634813675295 and 34634813675304.

It is not an unprimeable number, because it can be changed into a prime (34634813675461) 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, 437036850 + ... + 437116091.

It is an arithmetic number, because the mean of its divisors is an integer number (2958133555728).

Almost surely, 2^{34634813675361} is an apocalyptic number.

It is an amenable number.

34634813675361 is a deficient number, since it is larger than the sum of its proper divisors (12695323216287).

34634813675361 is a wasteful number, since it uses less digits than its factorization.

34634813675361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874153272.

The product of its digits is 78382080, while the sum is 60.

The spelling of 34634813675361 in words is "thirty-four trillion, six hundred thirty-four billion, eight hundred thirteen million, six hundred seventy-five thousand, three hundred sixty-one".