3230400 has 84 divisors (see below), whose sum is σ = 10614152. Its totient is φ = 860160.

The previous prime is 3230393. The next prime is 3230401. The reversal of 3230400 is 40323.

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 (3230401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4464 + ... + 5136.

Almost surely, 2^3230400 is an apocalyptic number.

3230400 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 3230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307076).

3230400 is an abundant number, since it is smaller than the sum of its proper divisors (7383752).

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

3230400 is a wasteful number, since it uses less digits than its factorization.

3230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

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

The square root of 3230400 is about 1797.3313550929. The cubic root of 3230400 is about 147.8264339794.

Adding to 3230400 its reverse (40323), we get a palindrome (3270723).

The spelling of 3230400 in words is "three million, two hundred thirty thousand, four hundred".