34004006688 has 48 divisors (see below), whose sum is σ = 91159689600. Its totient is φ = 11093504256.

The previous prime is 34004006653. The next prime is 34004006693. The reversal of 34004006688 is 88660040043.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3763663 + ... + 3772686.

It is an arithmetic number, because the mean of its divisors is an integer number (1899160200).

Almost surely, 2^34004006688 is an apocalyptic number.

It is an amenable number.

34004006688 is an abundant number, since it is smaller than the sum of its proper divisors (57155682912).

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

34004006688 is a wasteful number, since it uses less digits than its factorization.

34004006688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536409 (or 7536401 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34004006688 in words is "thirty-four billion, four million, six thousand, six hundred eighty-eight".