3240400400 has 60 divisors (see below), whose sum is σ = 7791884100. Its totient is φ = 1295024640.

The previous prime is 3240400367. The next prime is 3240400409. The reversal of 3240400400 is 40040423.

It can be written as a sum of positive squares in 6 ways, for example, as 855445504 + 2384954896 = 29248^2 + 48836^2 .

It is not an unprimeable number, because it can be changed into a prime (3240400409) 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, 568766 + ... + 574434.

It is an arithmetic number, because the mean of its divisors is an integer number (129864735).

Almost surely, 2^3240400400 is an apocalyptic number.

It is an amenable number.

3240400400 is an abundant number, since it is smaller than the sum of its proper divisors (4551483700).

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

3240400400 is a wasteful number, since it uses less digits than its factorization.

3240400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3240400400 is about 56924.5149298613. The cubic root of 3240400400 is about 1479.7881971069.

Adding to 3240400400 its reverse (40040423), we get a palindrome (3280440823).

The spelling of 3240400400 in words is "three billion, two hundred forty million, four hundred thousand, four hundred".