3112786080 has 144 divisors (see below), whose sum is σ = 10796824584. Its totient is φ = 816445440.

The previous prime is 3112786073. The next prime is 3112786081. The reversal of 3112786080 is 806872113.

3112786080 is a `hidden beast` number, since 31 + 12 + 7 + 8 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2323625616 + 789160464 = 48204^2 + 28092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3112786081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70122 + ... + 105558.

Almost surely, 2^3112786080 is an apocalyptic number.

3112786080 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 3112786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398412292).

3112786080 is an abundant number, since it is smaller than the sum of its proper divisors (7684038504).

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

3112786080 is a wasteful number, since it uses less digits than its factorization.

3112786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35519 (or 35508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3112786080 is about 55792.3478624085. The cubic root of 3112786080 is about 1460.1016505194.

The spelling of 3112786080 in words is "three billion, one hundred twelve million, seven hundred eighty-six thousand, eighty".