321344040 has 128 divisors (see below), whose sum is σ = 1013264640. Its totient is φ = 81371136.

The previous prime is 321344039. The next prime is 321344057. The reversal of 321344040 is 40443123.

It is a junction number, because it is equal to n+sod(n) for n = 321343998 and 321344016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477144 + ... + 477816.

It is an arithmetic number, because the mean of its divisors is an integer number (7916130).

Almost surely, 2^321344040 is an apocalyptic number.

321344040 is a gapful number since it is divisible by the number (30) 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 321344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506632320).

321344040 is an abundant number, since it is smaller than the sum of its proper divisors (691920600).

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

321344040 is a wasteful number, since it uses less digits than its factorization.

321344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 321344040 is about 17926.0715160907. The cubic root of 321344040 is about 684.9466561191.

Adding to 321344040 its reverse (40443123), we get a palindrome (361787163).

The spelling of 321344040 in words is "three hundred twenty-one million, three hundred forty-four thousand, forty".