34684392768 has 112 divisors (see below), whose sum is σ = 93304034880. Its totient is φ = 11368710144.

The previous prime is 34684392739. The next prime is 34684392773. The reversal of 34684392768 is 86729348643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8398128 + ... + 8402256.

It is an arithmetic number, because the mean of its divisors is an integer number (833071740).

Almost surely, 2^34684392768 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 34684392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46652017440).

34684392768 is an abundant number, since it is smaller than the sum of its proper divisors (58619642112).

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

34684392768 is a wasteful number, since it uses less digits than its factorization.

34684392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4854 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 34684392768 in words is "thirty-four billion, six hundred eighty-four million, three hundred ninety-two thousand, seven hundred sixty-eight".