8315680338 has 96 divisors (see below), whose sum is σ = 21049392000. Its totient is φ = 2371620384.

The previous prime is 8315680333. The next prime is 8315680349. The reversal of 8315680338 is 8330865138.

8315680338 is a `hidden beast` number, since 83 + 1 + 568 + 0 + 3 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8315680293 and 8315680302.

It is not an unprimeable number, because it can be changed into a prime (8315680333) 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, 5265633 + ... + 5267211.

It is an arithmetic number, because the mean of its divisors is an integer number (219264500).

Almost surely, 2^8315680338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315680338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10524696000).

8315680338 is an abundant number, since it is smaller than the sum of its proper divisors (12733711662).

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

8315680338 is a wasteful number, since it uses less digits than its factorization.

8315680338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8315680338 is about 91190.3522199580. The cubic root of 8315680338 is about 2025.9680653480.

The spelling of 8315680338 in words is "eight billion, three hundred fifteen million, six hundred eighty thousand, three hundred thirty-eight".