312384996 has 216 divisors, whose sum is σ = 1062131616. Its totient is φ = 76285440.

The previous prime is 312384991. The next prime is 312385001. The reversal of 312384996 is 699483213.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (312384991) and next prime (312385001).

It is not an unprimeable number, because it can be changed into a prime (312384991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329395 + ... + 330341.

It is an arithmetic number, because the mean of its divisors is an integer number (4917276).

Almost surely, 2^312384996 is an apocalyptic number.

312384996 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 312384996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531065808).

312384996 is an abundant number, since it is smaller than the sum of its proper divisors (749746620).

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

312384996 is a wasteful number, since it uses less digits than its factorization.

312384996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 987 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 312384996 is about 17674.4164260097. The cubic root of 312384996 is about 678.5211488993.

The spelling of 312384996 in words is "three hundred twelve million, three hundred eighty-four thousand, nine hundred ninety-six".