34004116521 has 16 divisors (see below), whose sum is σ = 50875249920. Its totient is φ = 22444959600.

The previous prime is 34004116519. The next prime is 34004116529. The reversal of 34004116521 is 12561140043.

It is a happy number.

34004116521 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 4 + 1 + 1 + 652 + 1 = 666.

It is not a de Polignac number, because 34004116521 - 2¹ = 34004116519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34004116529) 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, 6231985 + ... + 6237438.

It is an arithmetic number, because the mean of its divisors is an integer number (3179703120).

Almost surely, 2^34004116521 is an apocalyptic number.

It is an amenable number.

34004116521 is a deficient number, since it is larger than the sum of its proper divisors (16871133399).

34004116521 is a wasteful number, since it uses less digits than its factorization.

34004116521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469533 (or 12469527 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34004116521 its reverse (12561140043), we get a palindrome (46565256564).

The spelling of 34004116521 in words is "thirty-four billion, four million, one hundred sixteen thousand, five hundred twenty-one".