34206400233 has 6 divisors (see below), whose sum is σ = 49409244794. Its totient is φ = 22804266816.

The previous prime is 34206400231. The next prime is 34206400237. The reversal of 34206400233 is 33200460243.

It is a happy number.

34206400233 is a `hidden beast` number, since 3 + 4 + 20 + 6 + 400 + 233 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34044678144 + 161722089 = 184512^2 + 12717^2 .

It is not a de Polignac number, because 34206400233 - 2¹ = 34206400231 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34206400197 and 34206400206.

It is not an unprimeable number, because it can be changed into a prime (34206400231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1900355560 + ... + 1900355577.

Almost surely, 2^34206400233 is an apocalyptic number.

It is an amenable number.

34206400233 is a deficient number, since it is larger than the sum of its proper divisors (15202844561).

34206400233 is a wasteful number, since it uses less digits than its factorization.

34206400233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800711143 (or 3800711140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34206400233 its reverse (33200460243), we get a palindrome (67406860476).

The spelling of 34206400233 in words is "thirty-four billion, two hundred six million, four hundred thousand, two hundred thirty-three".