320000030400 has 336 divisors, whose sum is σ = 1159961900544. Its totient is φ = 76821381120.

The previous prime is 320000030381. The next prime is 320000030401. The reversal of 320000030400 is 4030000023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (320000030401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791549 + ... + 1962051.

Almost surely, 2^320000030400 is an apocalyptic number.

320000030400 is a gapful number since it is divisible by the number (30) 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 320000030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579980950272).

320000030400 is an abundant number, since it is smaller than the sum of its proper divisors (839961870144).

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

320000030400 is a wasteful number, since it uses less digits than its factorization.

320000030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170568 (or 170553 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 320000030400 its reverse (4030000023), we get a palindrome (324030030423).

The spelling of 320000030400 in words is "three hundred twenty billion, thirty thousand, four hundred".