3117890880 has 560 divisors, whose sum is σ = 12598481280. Its totient is φ = 725594112.

The previous prime is 3117890863. The next prime is 3117890887. The reversal of 3117890880 is 880987113.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117890887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6401997 + ... + 6402483.

It is an arithmetic number, because the mean of its divisors is an integer number (22497288).

Almost surely, 2^3117890880 is an apocalyptic number.

3117890880 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 3117890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299240640).

3117890880 is an abundant number, since it is smaller than the sum of its proper divisors (9480590400).

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

3117890880 is a wasteful number, since it uses less digits than its factorization.

3117890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 3117890880 is about 55838.0773307964. The cubic root of 3117890880 is about 1460.8993770536.

The spelling of 3117890880 in words is "three billion, one hundred seventeen million, eight hundred ninety thousand, eight hundred eighty".