34016304006 has 24 divisors (see below), whose sum is σ = 73747354824. Its totient is φ = 11331789120.

The previous prime is 34016303987. The next prime is 34016304079. The reversal of 34016304006 is 60040361043.

34016304006 is a `hidden beast` number, since 340 + 16 + 304 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×34016304006² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551475 + ... + 610046.

It is an arithmetic number, because the mean of its divisors is an integer number (3072806451).

Almost surely, 2^34016304006 is an apocalyptic number.

34016304006 is an abundant number, since it is smaller than the sum of its proper divisors (39731050818).

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

34016304006 is a wasteful number, since it uses less digits than its factorization.

34016304006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163156 (or 1163153 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34016304006 its reverse (60040361043), we get a palindrome (94056665049).

The spelling of 34016304006 in words is "thirty-four billion, sixteen million, three hundred four thousand, six".