3116355840 has 216 divisors, whose sum is σ = 11612229720. Its totient is φ = 767066112.

The previous prime is 3116355797. The next prime is 3116355871. The reversal of 3116355840 is 485536113.

3116355840 is a `hidden beast` number, since 3 + 1 + 1 + 63 + 558 + 40 = 666.

3116355840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36864 + 3116318976 = 192^2 + 55824^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3116355795 and 3116355804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139356 + ... + 160164.

Almost surely, 2^3116355840 is an apocalyptic number.

3116355840 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 3116355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806114860).

3116355840 is an abundant number, since it is smaller than the sum of its proper divisors (8495873880).

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

3116355840 is a wasteful number, since it uses less digits than its factorization.

3116355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20849 (or 20832 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3116355840 is about 55824.3301795910. The cubic root of 3116355840 is about 1460.6595881287.

The spelling of 3116355840 in words is "three billion, one hundred sixteen million, three hundred fifty-five thousand, eight hundred forty".