3112966080 has 1008 divisors, whose sum is σ = 13912778880. Its totient is φ = 658409472.

The previous prime is 3112966069. The next prime is 3112966081. The reversal of 3112966080 is 806692113.

3112966080 is a `hidden beast` number, since 31 + 12 + 9 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×3112966080³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112966081) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394539 + ... + 72394581.

It is an arithmetic number, because the mean of its divisors is an integer number (13802360).

Almost surely, 2^3112966080 is an apocalyptic number.

3112966080 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 3112966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956389440).

3112966080 is an abundant number, since it is smaller than the sum of its proper divisors (10799812800).

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

3112966080 is a wasteful number, since it uses less digits than its factorization.

3112966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3112966080 is about 55793.9609635308. The cubic root of 3112966080 is about 1460.1297939279.

The spelling of 3112966080 in words is "three billion, one hundred twelve million, nine hundred sixty-six thousand, eighty".