321380352 has 112 divisors (see below), whose sum is σ = 952835280. Its totient is φ = 107053056.

The previous prime is 321380351. The next prime is 321380419. The reversal of 321380352 is 253083123.

321380352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321380351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220458 + ... + 221910.

Almost surely, 2^321380352 is an apocalyptic number.

321380352 is a gapful number since it is divisible by the number (32) 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 321380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476417640).

321380352 is an abundant number, since it is smaller than the sum of its proper divisors (631454928).

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

321380352 is an equidigital number, since it uses as much as digits as its factorization.

321380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 321380352 is about 17927.0843139647. The cubic root of 321380352 is about 684.9724548925.

The spelling of 321380352 in words is "three hundred twenty-one million, three hundred eighty thousand, three hundred fifty-two".