34004232343305 has 128 divisors (see below), whose sum is σ = 69316715520000. Its totient is φ = 15493404563712.

The previous prime is 34004232343271. The next prime is 34004232343327. The reversal of 34004232343305 is 50334323240043.

34004232343305 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 2 + 3 + 2 + 343 + 305 = 666.

It is not a de Polignac number, because 34004232343305 - 2⁶ = 34004232343241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34004232343305.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 364465372 + ... + 364558658.

It is an arithmetic number, because the mean of its divisors is an integer number (541536840000).

Almost surely, 2^{34004232343305} is an apocalyptic number.

34004232343305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34004232343305 is an abundant number, since it is smaller than the sum of its proper divisors (35312483176695).

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

34004232343305 is a wasteful number, since it uses less digits than its factorization.

34004232343305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94580 (or 94574 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 36.

Adding to 34004232343305 its reverse (50334323240043), we get a palindrome (84338555583348).

The spelling of 34004232343305 in words is "thirty-four trillion, four billion, two hundred thirty-two million, three hundred forty-three thousand, three hundred five".