3231430400 has 216 divisors, whose sum is σ = 8807342544. Its totient is φ = 1164083200.

The previous prime is 3231430393. The next prime is 3231430417. The reversal of 3231430400 is 40341323.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13868684 + ... + 13868916.

It is an arithmetic number, because the mean of its divisors is an integer number (40774734).

Almost surely, 2^3231430400 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 3231430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403671272).

3231430400 is an abundant number, since it is smaller than the sum of its proper divisors (5575912144).

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

3231430400 is a wasteful number, since it uses less digits than its factorization.

3231430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3231430400 is about 56845.6717789490. The cubic root of 3231430400 is about 1478.4214969732.

Adding to 3231430400 its reverse (40341323), we get a palindrome (3271771723).

The spelling of 3231430400 in words is "three billion, two hundred thirty-one million, four hundred thirty thousand, four hundred".