321677312 has 96 divisors (see below), whose sum is σ = 713512800. Its totient is φ = 143769600.

The previous prime is 321677303. The next prime is 321677329. The reversal of 321677312 is 213776123.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455487 + ... + 2455617.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2^321677312 is an apocalyptic number.

321677312 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 321677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356756400).

321677312 is an abundant number, since it is smaller than the sum of its proper divisors (391835488).

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

321677312 is a wasteful number, since it uses less digits than its factorization.

321677312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 321677312 is about 17935.3648415637. The cubic root of 321677312 is about 685.1833646967.

The spelling of 321677312 in words is "three hundred twenty-one million, six hundred seventy-seven thousand, three hundred twelve".