34165405000 has 40 divisors (see below), whose sum is σ = 80049555630. Its totient is φ = 13666160000.

The previous prime is 34165404997. The next prime is 34165405049. The reversal of 34165405000 is 50456143.

It can be written as a sum of positive squares in 5 ways, for example, as 4015249956 + 30150155044 = 63366^2 + 173638^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 34165405000.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 3411541 + ... + 3421540.

Almost surely, 2^34165405000 is an apocalyptic number.

It is an amenable number.

34165405000 is an abundant number, since it is smaller than the sum of its proper divisors (45884150630).

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

34165405000 is an equidigital number, since it uses as much as digits as its factorization.

34165405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833107 (or 6833088 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 34165405000 in words is "thirty-four billion, one hundred sixty-five million, four hundred five thousand".