3117300480 has 864 divisors, whose sum is σ = 13468815360. Its totient is φ = 650280960.

The previous prime is 3117300467. The next prime is 3117300517. The reversal of 3117300480 is 840037113.

3117300480 is a `hidden beast` number, since 311 + 7 + 300 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72495339 + ... + 72495381.

Almost surely, 2^3117300480 is an apocalyptic number.

3117300480 is a gapful number since it is divisible by the number (30) 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 3117300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734407680).

3117300480 is an abundant number, since it is smaller than the sum of its proper divisors (10351514880).

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

3117300480 is a wasteful number, since it uses less digits than its factorization.

3117300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3117300480 is about 55832.7903655191. The cubic root of 3117300480 is about 1460.8071598601.

Adding to 3117300480 its reverse (840037113), we get a palindrome (3957337593).

The spelling of 3117300480 in words is "three billion, one hundred seventeen million, three hundred thousand, four hundred eighty".