3242400312 has 64 divisors (see below), whose sum is σ = 8635536000. Its totient is φ = 1011567744.

The previous prime is 3242400307. The next prime is 3242400341. The reversal of 3242400312 is 2130042423.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987 + ... + 80682.

It is an arithmetic number, because the mean of its divisors is an integer number (134930250).

Almost surely, 2^3242400312 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 3242400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317768000).

3242400312 is an abundant number, since it is smaller than the sum of its proper divisors (5393135688).

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

3242400312 is a wasteful number, since it uses less digits than its factorization.

3242400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85780 (or 85776 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3242400312 is about 56942.0785711235. The cubic root of 3242400312 is about 1480.0925666476.

Adding to 3242400312 its reverse (2130042423), we get a palindrome (5372442735).

The spelling of 3242400312 in words is "three billion, two hundred forty-two million, four hundred thousand, three hundred twelve".