34354000213 has 32 divisors (see below), whose sum is σ = 38787971040. Its totient is φ = 30207959040.

The previous prime is 34354000201. The next prime is 34354000217. The reversal of 34354000213 is 31200045343.

It can be written as a sum of positive squares in 16 ways, for example, as 30367593169 + 3986407044 = 174263^2 + 63138^2 .

It is not a de Polignac number, because 34354000213 - 2⁵ = 34354000181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354000217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9924303 + ... + 9927763.

It is an arithmetic number, because the mean of its divisors is an integer number (1212124095).

Almost surely, 2^34354000213 is an apocalyptic number.

It is an amenable number.

34354000213 is a deficient number, since it is larger than the sum of its proper divisors (4433970827).

34354000213 is a wasteful number, since it uses less digits than its factorization.

34354000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 34354000213 its reverse (31200045343), we get a palindrome (65554045556).

The spelling of 34354000213 in words is "thirty-four billion, three hundred fifty-four million, two hundred thirteen", and thus it is an aban number.