34048417891 has 16 divisors (see below), whose sum is σ = 35497958400. Its totient is φ = 32621228640.

The previous prime is 34048417883. The next prime is 34048417901. The reversal of 34048417891 is 19871484043.

It is a cyclic number.

It is not a de Polignac number, because 34048417891 - 2³ = 34048417883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34048417831) 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, 8453020 + ... + 8457046.

It is an arithmetic number, because the mean of its divisors is an integer number (2218622400).

Almost surely, 2^34048417891 is an apocalyptic number.

34048417891 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34048417891 is a deficient number, since it is larger than the sum of its proper divisors (1449540509).

34048417891 is a wasteful number, since it uses less digits than its factorization.

34048417891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714.

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 34048417891 in words is "thirty-four billion, forty-eight million, four hundred seventeen thousand, eight hundred ninety-one".