34213008841 has 16 divisors (see below), whose sum is σ = 38134699200. Its totient is φ = 30432790080.

The previous prime is 34213008839. The next prime is 34213008859. The reversal of 34213008841 is 14880031243.

It is not a de Polignac number, because 34213008841 - 2¹ = 34213008839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34213008797 and 34213008806.

It is not an unprimeable number, because it can be changed into a prime (34213008811) 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, 45966 + ... + 265591.

It is an arithmetic number, because the mean of its divisors is an integer number (2383418700).

Almost surely, 2^34213008841 is an apocalyptic number.

It is an amenable number.

34213008841 is a deficient number, since it is larger than the sum of its proper divisors (3921690359).

34213008841 is a wasteful number, since it uses less digits than its factorization.

34213008841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311784.

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 34213008841 in words is "thirty-four billion, two hundred thirteen million, eight thousand, eight hundred forty-one".