3201240400 has 60 divisors (see below), whose sum is σ = 7956215100. Its totient is φ = 1236336640.

The previous prime is 3201240331. The next prime is 3201240401. The reversal of 3201240400 is 40421023.

It can be written as a sum of positive squares in 6 ways, for example, as 307230784 + 2894009616 = 17528^2 + 53796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126385 + ... + 149584.

It is an arithmetic number, because the mean of its divisors is an integer number (132603585).

Almost surely, 2^3201240400 is an apocalyptic number.

It is an amenable number.

3201240400 is an abundant number, since it is smaller than the sum of its proper divisors (4754974700).

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

3201240400 is a wasteful number, since it uses less digits than its factorization.

3201240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276016 (or 276005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3201240400 is about 56579.5051233218. The cubic root of 3201240400 is about 1473.8029778877.

Adding to 3201240400 its reverse (40421023), we get a palindrome (3241661423).

The spelling of 3201240400 in words is "three billion, two hundred one million, two hundred forty thousand, four hundred".