34004058563 has 16 divisors (see below), whose sum is σ = 36607326624. Its totient is φ = 31468162560.

The previous prime is 34004058541. The next prime is 34004058577. The reversal of 34004058563 is 36585040043.

It is a cyclic number.

It is not a de Polignac number, because 34004058563 - 2¹⁶ = 34003993027 is a prime.

It is a super-5 number, since 5×34004058563⁵ (a number of 54 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34004058523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5676656 + ... + 5682642.

It is an arithmetic number, because the mean of its divisors is an integer number (2287957914).

Almost surely, 2^34004058563 is an apocalyptic number.

34004058563 is a deficient number, since it is larger than the sum of its proper divisors (2603268061).

34004058563 is a wasteful number, since it uses less digits than its factorization.

34004058563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11542.

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 34004058563 in words is "thirty-four billion, four million, fifty-eight thousand, five hundred sixty-three".