34004066672 has 80 divisors (see below), whose sum is σ = 70517718720. Its totient is φ = 15828320256.

The previous prime is 34004066651. The next prime is 34004066683. The reversal of 34004066672 is 27666040043.

It is a congruent number.

It is an unprimeable number.

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, 22836104 + ... + 22837592.

It is an arithmetic number, because the mean of its divisors is an integer number (881471484).

Almost surely, 2^34004066672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004066672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258859360).

34004066672 is an abundant number, since it is smaller than the sum of its proper divisors (36513652048).

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

34004066672 is a wasteful number, since it uses less digits than its factorization.

34004066672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 34004066672 in words is "thirty-four billion, four million, sixty-six thousand, six hundred seventy-two".