321355672 has 48 divisors (see below), whose sum is σ = 683726400. Its totient is φ = 141345600.

The previous prime is 321355637. The next prime is 321355679. The reversal of 321355672 is 276553123.

321355672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321355679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24654 + ... + 35362.

It is an arithmetic number, because the mean of its divisors is an integer number (14244300).

Almost surely, 2^321355672 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 321355672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

321355672 is an abundant number, since it is smaller than the sum of its proper divisors (362370728).

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

321355672 is a wasteful number, since it uses less digits than its factorization.

321355672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10753 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 321355672 is about 17926.3959568007. The cubic root of 321355672 is about 684.9549205776.

It can be divided in two parts, 3213 and 55672, that added together give a palindrome (58885).

The spelling of 321355672 in words is "three hundred twenty-one million, three hundred fifty-five thousand, six hundred seventy-two".