3116387520 has 448 divisors, whose sum is σ = 11467063680. Its totient is φ = 806215680.

The previous prime is 3116387489. The next prime is 3116387551. The reversal of 3116387520 is 257836113.

3116387520 is a `hidden beast` number, since 3 + 11 + 638 + 7 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3116387489) and next prime (3116387551).

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

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, 42690204 + ... + 42690276.

Almost surely, 2^3116387520 is an apocalyptic number.

3116387520 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 3116387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733531840).

3116387520 is an abundant number, since it is smaller than the sum of its proper divisors (8350676160).

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

3116387520 is an frugal number, since it uses more digits than its factorization.

3116387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3116387520 is about 55824.6139261169. The cubic root of 3116387520 is about 1460.6645376639.

The spelling of 3116387520 in words is "three billion, one hundred sixteen million, three hundred eighty-seven thousand, five hundred twenty".