312043680 has 288 divisors, whose sum is σ = 1166780160. Its totient is φ = 75479040.

The previous prime is 312043679. The next prime is 312043709. The reversal of 312043680 is 86340213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478775 + ... + 1478985.

It is an arithmetic number, because the mean of its divisors is an integer number (4051320).

Almost surely, 2^312043680 is an apocalyptic number.

312043680 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 312043680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583390080).

312043680 is an abundant number, since it is smaller than the sum of its proper divisors (854736480).

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

312043680 is a wasteful number, since it uses less digits than its factorization.

312043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312043680 is about 17664.7581359044. The cubic root of 312043680 is about 678.2739384327.

Adding to 312043680 its reverse (86340213), we get a palindrome (398383893).

The spelling of 312043680 in words is "three hundred twelve million, forty-three thousand, six hundred eighty".