34000762904576 has 112 divisors (see below), whose sum is σ = 73237092137664. Its totient is φ = 15690699177984.

The previous prime is 34000762904569. The next prime is 34000762904621. The reversal of 34000762904576 is 67540926700043.

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 7 ways as a sum of consecutive naturals, for example, 1180280765 + ... + 1180309571.

It is an arithmetic number, because the mean of its divisors is an integer number (653902608372).

Almost surely, 2^{34000762904576} 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 34000762904576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36618546068832).

34000762904576 is an abundant number, since it is smaller than the sum of its proper divisors (39236329233088).

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

34000762904576 is a wasteful number, since it uses less digits than its factorization.

34000762904576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39929 (or 39905 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 53.

The spelling of 34000762904576 in words is "thirty-four trillion, seven hundred sixty-two million, nine hundred four thousand, five hundred seventy-six".