312975936 has 252 divisors, whose sum is σ = 1125143292. Its totient is φ = 82446336.

The previous prime is 312975829. The next prime is 312975937. The reversal of 312975936 is 639579213.

312975936 is a `hidden beast` number, since 31 + 29 + 7 + 593 + 6 = 666.

312975936 is digitally balanced in base 3, 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 2 ways, for example, as 30735936 + 282240000 = 5544^2 + 16800^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 312975891 and 312975900.

It is not an unprimeable number, because it can be changed into a prime (312975937) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 366486 + ... + 367338.

Almost surely, 2^312975936 is an apocalyptic number.

312975936 is a gapful number since it is divisible by the number (36) 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 312975936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562571646).

312975936 is an abundant number, since it is smaller than the sum of its proper divisors (812167356).

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

312975936 is a wasteful number, since it uses less digits than its factorization.

312975936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 878 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 312975936 is about 17691.1259110323. The cubic root of 312975936 is about 678.9487331541.

The spelling of 312975936 in words is "three hundred twelve million, nine hundred seventy-five thousand, nine hundred thirty-six".