34004737872 has 480 divisors, whose sum is σ = 120796435200. Its totient is φ = 8960523264.

The previous prime is 34004737861. The next prime is 34004737903. The reversal of 34004737872 is 27873740043.

34004737872 is a `hidden beast` number, since 3 + 40 + 0 + 473 + 78 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46390818 + ... + 46391550.

It is an arithmetic number, because the mean of its divisors is an integer number (251659240).

Almost surely, 2^34004737872 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 34004737872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60398217600).

34004737872 is an abundant number, since it is smaller than the sum of its proper divisors (86791697328).

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

34004737872 is a wasteful number, since it uses less digits than its factorization.

34004737872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 34004737872 in words is "thirty-four billion, four million, seven hundred thirty-seven thousand, eight hundred seventy-two".