34042000213 has 8 divisors (see below), whose sum is σ = 36667657656. Its totient is φ = 31417348800.

The previous prime is 34042000177. The next prime is 34042000231. The reversal of 34042000213 is 31200024043.

It can be written as a sum of positive squares in 4 ways, for example, as 5141320209 + 28900680004 = 71703^2 + 170002^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34042000213 - 2¹³ = 34041992021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042000243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180478 + ... + 317263.

It is an arithmetic number, because the mean of its divisors is an integer number (4583457207).

Almost surely, 2^34042000213 is an apocalyptic number.

It is an amenable number.

34042000213 is a deficient number, since it is larger than the sum of its proper divisors (2625657443).

34042000213 is a wasteful number, since it uses less digits than its factorization.

34042000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503015.

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34042000213 its reverse (31200024043), we get a palindrome (65242024256).

The spelling of 34042000213 in words is "thirty-four billion, forty-two million, two hundred thirteen", and thus it is an aban number.