323481312 has 288 divisors, whose sum is σ = 1188794880. Its totient is φ = 80962560.

The previous prime is 323481281. The next prime is 323481329. The reversal of 323481312 is 213184323.

323481312 is a `hidden beast` number, since 3 + 2 + 348 + 1 + 312 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642853 + ... + 643355.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2^323481312 is an apocalyptic number.

323481312 is a gapful number since it is divisible by the number (32) 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 323481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

323481312 is an abundant number, since it is smaller than the sum of its proper divisors (865313568).

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

323481312 is a wasteful number, since it uses less digits than its factorization.

323481312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

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

The square root of 323481312 is about 17985.5862289779. The cubic root of 323481312 is about 686.4618377138.

The spelling of 323481312 in words is "three hundred twenty-three million, four hundred eighty-one thousand, three hundred twelve".