321746880 has 448 divisors, whose sum is σ = 1310883840. Its totient is φ = 65028096.

The previous prime is 321746869. The next prime is 321746897. The reversal of 321746880 is 88647123.

321746880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2533377 + ... + 2533503.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^321746880 is an apocalyptic number.

321746880 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 321746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

321746880 is an abundant number, since it is smaller than the sum of its proper divisors (989136960).

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

321746880 is a wasteful number, since it uses less digits than its factorization.

321746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 321746880 is about 17937.3041452722. The cubic root of 321746880 is about 685.2327551870.

The spelling of 321746880 in words is "three hundred twenty-one million, seven hundred forty-six thousand, eight hundred eighty".