321408018 has 48 divisors (see below), whose sum is σ = 739323936. Its totient is φ = 100563840.

The previous prime is 321408013. The next prime is 321408029. The reversal of 321408018 is 810804123.

321408018 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×321408018² = 206606228069376648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321407982 and 321408000.

It is not an unprimeable number, because it can be changed into a prime (321408013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134373 + ... + 136743.

It is an arithmetic number, because the mean of its divisors is an integer number (15402582).

Almost surely, 2^321408018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321408018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369661968).

321408018 is an abundant number, since it is smaller than the sum of its proper divisors (417915918).

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

321408018 is a wasteful number, since it uses less digits than its factorization.

321408018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 321408018 is about 17927.8559231158. The cubic root of 321408018 is about 684.9921095935.

The spelling of 321408018 in words is "three hundred twenty-one million, four hundred eight thousand, eighteen".