331346400 has 432 divisors, whose sum is σ = 1363162752. Its totient is φ = 68428800.

The previous prime is 331346387. The next prime is 331346401. The reversal of 331346400 is 4643133.

331346400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331346401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2032719 + ... + 2032881.

Almost surely, 2^331346400 is an apocalyptic number.

331346400 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 331346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681581376).

331346400 is an abundant number, since it is smaller than the sum of its proper divisors (1031816352).

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

331346400 is a wasteful number, since it uses less digits than its factorization.

331346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 331346400 is about 18202.9228422251. The cubic root of 331346400 is about 691.9808652978.

Adding to 331346400 its reverse (4643133), we get a palindrome (335989533).

The spelling of 331346400 in words is "three hundred thirty-one million, three hundred forty-six thousand, four hundred".