34879594100 has 36 divisors (see below), whose sum is σ = 81510931404. Its totient is φ = 12878618880.

The previous prime is 34879594073. The next prime is 34879594103. The reversal of 34879594100 is 149597843.

It can be written as a sum of positive squares in 6 ways, for example, as 2958054544 + 31921539556 = 54388^2 + 178666^2 .

It is a super-3 number, since 3×34879594100³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879594103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13413929 + ... + 13416528.

It is an arithmetic number, because the mean of its divisors is an integer number (2264192539).

Almost surely, 2^34879594100 is an apocalyptic number.

It is an amenable number.

34879594100 is an abundant number, since it is smaller than the sum of its proper divisors (46631337304).

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

34879594100 is a wasteful number, since it uses less digits than its factorization.

34879594100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26830484 (or 26830477 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 34879594100 in words is "thirty-four billion, eight hundred seventy-nine million, five hundred ninety-four thousand, one hundred".