320038400 has 120 divisors (see below), whose sum is σ = 865384344. Its totient is φ = 116326400.

The previous prime is 320038387. The next prime is 320038421. The reversal of 320038400 is 4830023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139664 + ... + 141936.

Almost surely, 2^320038400 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 320038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432692172).

320038400 is an abundant number, since it is smaller than the sum of its proper divisors (545345944).

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

320038400 is a wasteful number, since it uses less digits than its factorization.

320038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 320038400 is about 17889.6171004301. The cubic root of 320038400 is about 684.0177371915.

Adding to 320038400 its reverse (4830023), we get a palindrome (324868423).

The spelling of 320038400 in words is "three hundred twenty million, thirty-eight thousand, four hundred".