3117630816 has 384 divisors, whose sum is σ = 10241925120. Its totient is φ = 917913600.

The previous prime is 3117630793. The next prime is 3117630829. The reversal of 3117630816 is 6180367113.

3117630816 is a `hidden beast` number, since 3 + 1 + 1 + 7 + 630 + 8 + 16 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 18668365 + ... + 18668531.

It is an arithmetic number, because the mean of its divisors is an integer number (26671680).

Almost surely, 2^3117630816 is an apocalyptic number.

3117630816 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 3117630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120962560).

3117630816 is an abundant number, since it is smaller than the sum of its proper divisors (7124294304).

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

3117630816 is a wasteful number, since it uses less digits than its factorization.

3117630816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3117630816 is about 55835.7485487568. The cubic root of 3117630816 is about 1460.8587579391.

Adding to 3117630816 its reverse (6180367113), we get a palindrome (9297997929).

The spelling of 3117630816 in words is "three billion, one hundred seventeen million, six hundred thirty thousand, eight hundred sixteen".