34050212434035 has 192 divisors, whose sum is σ = 69912021344256. Its totient is φ = 15002267904000.

The previous prime is 34050212434019. The next prime is 34050212434061. The reversal of 34050212434035 is 53043421205043.

34050212434035 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 0 + 2 + 1 + 243 + 403 + 5 = 666.

34050212434035 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34050212434035 - 2⁴ = 34050212434019 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3976430664 + ... + 3976439226.

It is an arithmetic number, because the mean of its divisors is an integer number (364125111168).

Almost surely, 2^{34050212434035} is an apocalyptic number.

34050212434035 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34050212434035 is an abundant number, since it is smaller than the sum of its proper divisors (35861808910221).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34050212434035 is a wasteful number, since it uses less digits than its factorization.

34050212434035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 34050212434035 its reverse (53043421205043), we get a palindrome (87093633639078).

The spelling of 34050212434035 in words is "thirty-four trillion, fifty billion, two hundred twelve million, four hundred thirty-four thousand, thirty-five".