34500305541 has 64 divisors (see below), whose sum is σ = 51636372480. Its totient is φ = 20354181120.

The previous prime is 34500305537. The next prime is 34500305551. The reversal of 34500305541 is 14550300543.

It is not a de Polignac number, because 34500305541 - 2² = 34500305537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34500305499 and 34500305508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34500305531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21308830 + ... + 21310448.

It is an arithmetic number, because the mean of its divisors is an integer number (806818320).

Almost surely, 2^34500305541 is an apocalyptic number.

It is an amenable number.

34500305541 is a deficient number, since it is larger than the sum of its proper divisors (17136066939).

34500305541 is a wasteful number, since it uses less digits than its factorization.

34500305541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 34500305541 in words is "thirty-four billion, five hundred million, three hundred five thousand, five hundred forty-one".