3201310400 has 84 divisors (see below), whose sum is σ = 7958818728. Its totient is φ = 1267261440.

The previous prime is 3201310393. The next prime is 3201310417. The reversal of 3201310400 is 40131023.

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, 144887 + ... + 165513.

It is an arithmetic number, because the mean of its divisors is an integer number (94747842).

Almost surely, 2^3201310400 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 3201310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979409364).

3201310400 is an abundant number, since it is smaller than the sum of its proper divisors (4757508328).

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

3201310400 is a wasteful number, since it uses less digits than its factorization.

3201310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20746 (or 20731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3201310400 is about 56580.1237184932. The cubic root of 3201310400 is about 1473.8137201255.

Adding to 3201310400 its reverse (40131023), we get a palindrome (3241441423).

The spelling of 3201310400 in words is "three billion, two hundred one million, three hundred ten thousand, four hundred".