34094623248 has 320 divisors, whose sum is σ = 115290954240. Its totient is φ = 9443174400.

The previous prime is 34094623163. The next prime is 34094623253. The reversal of 34094623248 is 84232649043.

34094623248 is a `hidden beast` number, since 3 + 409 + 4 + 6 + 232 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51580038 + ... + 51580698.

It is an arithmetic number, because the mean of its divisors is an integer number (360284232).

Almost surely, 2^34094623248 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 34094623248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57645477120).

34094623248 is an abundant number, since it is smaller than the sum of its proper divisors (81196330992).

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

34094623248 is a wasteful number, since it uses less digits than its factorization.

34094623248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

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

The spelling of 34094623248 in words is "thirty-four billion, ninety-four million, six hundred twenty-three thousand, two hundred forty-eight".