3117059820 has 960 divisors, whose sum is σ = 13348177920. Its totient is φ = 591224832.

The previous prime is 3117059791. The next prime is 3117059833. The reversal of 3117059820 is 289507113.

3117059820 is a `hidden beast` number, since 31 + 17 + 0 + 598 + 20 = 666.

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 319 ways as a sum of consecutive naturals, for example, 84244842 + ... + 84244878.

It is an arithmetic number, because the mean of its divisors is an integer number (13904352).

Almost surely, 2^3117059820 is an apocalyptic number.

3117059820 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 3117059820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674088960).

3117059820 is an abundant number, since it is smaller than the sum of its proper divisors (10231118100).

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

3117059820 is a wasteful number, since it uses less digits than its factorization.

3117059820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 3117059820 is about 55830.6351387838. The cubic root of 3117059820 is about 1460.7695667673.

The spelling of 3117059820 in words is "three billion, one hundred seventeen million, fifty-nine thousand, eight hundred twenty".