321181380 has 144 divisors (see below), whose sum is σ = 1085600880. Its totient is φ = 76317696.

The previous prime is 321181363. The next prime is 321181387. The reversal of 321181380 is 83181123.

It can be written as a sum of positive squares in 8 ways, for example, as 55621764 + 265559616 = 7458^2 + 16296^2 .

It is not an unprimeable number, because it can be changed into a prime (321181387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65494 + ... + 70226.

It is an arithmetic number, because the mean of its divisors is an integer number (7538895).

Almost surely, 2^321181380 is an apocalyptic number.

321181380 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 321181380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542800440).

321181380 is an abundant number, since it is smaller than the sum of its proper divisors (764419500).

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

321181380 is a wasteful number, since it uses less digits than its factorization.

321181380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 321181380 is about 17921.5339745235. The cubic root of 321181380 is about 684.8310663740.

The spelling of 321181380 in words is "three hundred twenty-one million, one hundred eighty-one thousand, three hundred eighty".