8306006346 has 96 divisors (see below), whose sum is σ = 20391134400. Its totient is φ = 2421239040.

The previous prime is 8306006329. The next prime is 8306006347. The reversal of 8306006346 is 6436006038.

8306006346 is a `hidden beast` number, since 8 + 3 + 0 + 600 + 6 + 3 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8306006346.

It is not an unprimeable number, because it can be changed into a prime (8306006347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 645645 + ... + 658383.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 2^8306006346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8306006346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195567200).

8306006346 is an abundant number, since it is smaller than the sum of its proper divisors (12085128054).

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

8306006346 is a wasteful number, since it uses less digits than its factorization.

8306006346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12884 (or 12881 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 8306006346 is about 91137.2939361269. The cubic root of 8306006346 is about 2025.1821282920.

The spelling of 8306006346 in words is "eight billion, three hundred six million, six thousand, three hundred forty-six".