34313004401 has 6 divisors (see below), whose sum is σ = 37155501990. Its totient is φ = 31673542368.

The previous prime is 34313004377. The next prime is 34313004403. The reversal of 34313004401 is 10440031343.

It can be written as a sum of positive squares in 3 ways, for example, as 3424590400 + 30888414001 = 58520^2 + 175751^2 .

It is not a de Polignac number, because 34313004401 - 2⁶ = 34313004337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34313004403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101517596 + ... + 101517933.

It is an arithmetic number, because the mean of its divisors is an integer number (6192583665).

Almost surely, 2^34313004401 is an apocalyptic number.

It is an amenable number.

34313004401 is a deficient number, since it is larger than the sum of its proper divisors (2842497589).

34313004401 is a wasteful number, since it uses less digits than its factorization.

34313004401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203035555 (or 203035542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34313004401 its reverse (10440031343), we get a palindrome (44753035744).

The spelling of 34313004401 in words is "thirty-four billion, three hundred thirteen million, four thousand, four hundred one".