321724416 has 224 divisors, whose sum is σ = 990843840. Its totient is φ = 92012544.

The previous prime is 321724373. The next prime is 321724421. The reversal of 321724416 is 614427123.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6070246 + ... + 6070298.

It is an arithmetic number, because the mean of its divisors is an integer number (4423410).

Almost surely, 2^321724416 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 321724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495421920).

321724416 is an abundant number, since it is smaller than the sum of its proper divisors (669119424).

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

321724416 is a wasteful number, since it uses less digits than its factorization.

321724416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 321724416 is about 17936.6779532889. The cubic root of 321724416 is about 685.2168074261.

The spelling of 321724416 in words is "three hundred twenty-one million, seven hundred twenty-four thousand, four hundred sixteen".