34684223616 has 384 divisors, whose sum is σ = 121898649600. Its totient is φ = 9240182784.

The previous prime is 34684223597. The next prime is 34684223647. The reversal of 34684223616 is 61632248643.

34684223616 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 4 + 2 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15489825 + ... + 15492063.

It is an arithmetic number, because the mean of its divisors is an integer number (317444400).

Almost surely, 2^34684223616 is an apocalyptic number.

34684223616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34684223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60949324800).

34684223616 is an abundant number, since it is smaller than the sum of its proper divisors (87214425984).

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

34684223616 is a wasteful number, since it uses less digits than its factorization.

34684223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2381 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 34684223616 in words is "thirty-four billion, six hundred eighty-four million, two hundred twenty-three thousand, six hundred sixteen".