34001312352211 has 16 divisors (see below), whose sum is σ = 36064049878080. Its totient is φ = 31987358853120.

The previous prime is 34001312352209. The next prime is 34001312352269. The reversal of 34001312352211 is 11225321310043.

It is a cyclic number.

It is not a de Polignac number, because 34001312352211 - 2¹ = 34001312352209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34001312352211.

It is not an unprimeable number, because it can be changed into a prime (34001312352611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17355555 + ... + 19215043.

It is an arithmetic number, because the mean of its divisors is an integer number (2254003117380).

Almost surely, 2^{34001312352211} is an apocalyptic number.

34001312352211 is a deficient number, since it is larger than the sum of its proper divisors (2062737525869).

34001312352211 is a wasteful number, since it uses less digits than its factorization.

34001312352211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872606.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 34001312352211 its reverse (11225321310043), we get a palindrome (45226633662254).

The spelling of 34001312352211 in words is "thirty-four trillion, one billion, three hundred twelve million, three hundred fifty-two thousand, two hundred eleven".