321490944 has 312 divisors, whose sum is σ = 1073348640. Its totient is φ = 95551488.

The previous prime is 321490921. The next prime is 321490957. The reversal of 321490944 is 449094123.

It is a super-2 number, since 2×321490944² = 206712854148022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321490899 and 321490908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16920567 + ... + 16920585.

It is an arithmetic number, because the mean of its divisors is an integer number (3440220).

Almost surely, 2^321490944 is an apocalyptic number.

321490944 is a gapful number since it is divisible by the number (34) 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 321490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536674320).

321490944 is an abundant number, since it is smaller than the sum of its proper divisors (751857696).

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

321490944 is an equidigital number, since it uses as much as digits as its factorization.

321490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 321490944 is about 17930.1685435469. The cubic root of 321490944 is about 685.0510157895.

The spelling of 321490944 in words is "three hundred twenty-one million, four hundred ninety thousand, nine hundred forty-four".