8349631416 has 64 divisors (see below), whose sum is σ = 26506771200. Its totient is φ = 2385608544.

The previous prime is 8349631397. The next prime is 8349631417. The reversal of 8349631416 is 6141369438.

8349631416 is a `hidden beast` number, since 8 + 3 + 4 + 9 + 631 + 4 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8349631417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2759610 + ... + 2762633.

It is an arithmetic number, because the mean of its divisors is an integer number (414168300).

Almost surely, 2^8349631416 is an apocalyptic number.

It is an amenable number.

8349631416 is an abundant number, since it is smaller than the sum of its proper divisors (18157139784).

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

8349631416 is a wasteful number, since it uses less digits than its factorization.

8349631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522265 (or 5522255 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 8349631416 is about 91376.3175883117. The cubic root of 8349631416 is about 2028.7215142183.

The spelling of 8349631416 in words is "eight billion, three hundred forty-nine million, six hundred thirty-one thousand, four hundred sixteen".