34800134679 has 16 divisors (see below), whose sum is σ = 51560992000. Its totient is φ = 23197733208.

The previous prime is 34800134653. The next prime is 34800134683. The reversal of 34800134679 is 97643100843.

It is not a de Polignac number, because 34800134679 - 2¹² = 34800130583 is a prime.

It is a super-2 number, since 2×34800134679² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34800134639) 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, 229422 + ... + 349620.

It is an arithmetic number, because the mean of its divisors is an integer number (3222562000).

Almost surely, 2^34800134679 is an apocalyptic number.

34800134679 is a deficient number, since it is larger than the sum of its proper divisors (16760857321).

34800134679 is a wasteful number, since it uses less digits than its factorization.

34800134679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130931 (or 130925 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34800134679 in words is "thirty-four billion, eight hundred million, one hundred thirty-four thousand, six hundred seventy-nine".