34220034401 has 12 divisors (see below), whose sum is σ = 40097548548. Its totient is φ = 29117354112.

The previous prime is 34220034389. The next prime is 34220034403. The reversal of 34220034401 is 10443002243.

It can be written as a sum of positive squares in 2 ways, for example, as 19342133776 + 14877900625 = 139076^2 + 121975^2 .

It is not a de Polignac number, because 34220034401 - 2¹⁰ = 34220033377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34220034403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2542076 + ... + 2555501.

It is an arithmetic number, because the mean of its divisors is an integer number (3341462379).

Almost surely, 2^34220034401 is an apocalyptic number.

It is an amenable number.

34220034401 is a deficient number, since it is larger than the sum of its proper divisors (5877514147).

34220034401 is a wasteful number, since it uses less digits than its factorization.

34220034401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097728 (or 5097721 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 34220034401 its reverse (10443002243), we get a palindrome (44663036644).

The spelling of 34220034401 in words is "thirty-four billion, two hundred twenty million, thirty-four thousand, four hundred one".