34312034200221 has 12 divisors (see below), whose sum is σ = 49890051201120. Its totient is φ = 22723201456200.

The previous prime is 34312034200177. The next prime is 34312034200247. The reversal of 34312034200221 is 12200243021343.

34312034200221 is a `hidden beast` number, since 3 + 4 + 3 + 12 + 0 + 3 + 420 + 0 + 221 = 666.

It is not a de Polignac number, because 34312034200221 - 2⁴¹ = 32113010944669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312034200421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12623999451 + ... + 12624002168.

It is an arithmetic number, because the mean of its divisors is an integer number (4157504266760).

Almost surely, 2^{34312034200221} is an apocalyptic number.

It is an amenable number.

34312034200221 is a deficient number, since it is larger than the sum of its proper divisors (15578017000899).

34312034200221 is a wasteful number, since it uses less digits than its factorization.

34312034200221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25248001776 (or 25248001773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34312034200221 its reverse (12200243021343), we get a palindrome (46512277221564).

The spelling of 34312034200221 in words is "thirty-four trillion, three hundred twelve billion, thirty-four million, two hundred thousand, two hundred twenty-one".