321384336 has 240 divisors, whose sum is σ = 1087680384. Its totient is φ = 80898048.

The previous prime is 321384311. The next prime is 321384341. The reversal of 321384336 is 633483123.

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

It is a junction number, because it is equal to n+sod(n) for n = 321384297 and 321384306.

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, 703020 + ... + 703476.

Almost surely, 2^321384336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321384336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543840192).

321384336 is an abundant number, since it is smaller than the sum of its proper divisors (766296048).

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

321384336 is a wasteful number, since it uses less digits than its factorization.

321384336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 321384336 is about 17927.1954304068. The cubic root of 321384336 is about 684.9752853072.

The spelling of 321384336 in words is "three hundred twenty-one million, three hundred eighty-four thousand, three hundred thirty-six".