34400220201 has 24 divisors (see below), whose sum is σ = 50990907240. Its totient is φ = 22334668800.

The previous prime is 34400220193. The next prime is 34400220299. The reversal of 34400220201 is 10202200443.

34400220201 is a `hidden beast` number, since 3 + 440 + 0 + 2 + 20 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2237384601 + 32162835600 = 47301^2 + 179340^2 .

It is not a de Polignac number, because 34400220201 - 2³ = 34400220193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34400220901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128041 + ... + 291881.

It is an arithmetic number, because the mean of its divisors is an integer number (2124621135).

Almost surely, 2^34400220201 is an apocalyptic number.

It is an amenable number.

34400220201 is a deficient number, since it is larger than the sum of its proper divisors (16590687039).

34400220201 is a wasteful number, since it uses less digits than its factorization.

34400220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164457 (or 164454 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34400220201 its reverse (10202200443), we get a palindrome (44602420644).

The spelling of 34400220201 in words is "thirty-four billion, four hundred million, two hundred twenty thousand, two hundred one".