321438360 has 128 divisors (see below), whose sum is σ = 1001548800. Its totient is φ = 82467840.

The previous prime is 321438343. The next prime is 321438361. The reversal of 321438360 is 63834123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321438361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388267 + ... + 389093.

It is an arithmetic number, because the mean of its divisors is an integer number (7824600).

Almost surely, 2^321438360 is an apocalyptic number.

321438360 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 321438360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500774400).

321438360 is an abundant number, since it is smaller than the sum of its proper divisors (680110440).

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

321438360 is a wasteful number, since it uses less digits than its factorization.

321438360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 321438360 is about 17928.7021281519. The cubic root of 321438360 is about 685.0136641031.

The spelling of 321438360 in words is "three hundred twenty-one million, four hundred thirty-eight thousand, three hundred sixty".