34400100213 has 12 divisors (see below), whose sum is σ = 51849426720. Its totient is φ = 21936295656.

The previous prime is 34400100199. The next prime is 34400100227. The reversal of 34400100213 is 31200100443.

34400100213 is a `hidden beast` number, since 3 + 440 + 0 + 10 + 0 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (34400100199) and next prime (34400100227).

It is not a de Polignac number, because 34400100213 - 2⁶ = 34400100149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400100263) 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 11 ways as a sum of consecutive naturals, for example, 83091823 + ... + 83092236.

It is an arithmetic number, because the mean of its divisors is an integer number (4320785560).

Almost surely, 2^34400100213 is an apocalyptic number.

It is an amenable number.

34400100213 is a deficient number, since it is larger than the sum of its proper divisors (17449326507).

34400100213 is a wasteful number, since it uses less digits than its factorization.

34400100213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166184088 (or 166184085 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34400100213 its reverse (31200100443), we get a palindrome (65600200656).

The spelling of 34400100213 in words is "thirty-four billion, four hundred million, one hundred thousand, two hundred thirteen".