3243713040 has 400 divisors, whose sum is σ = 11781620928. Its totient is φ = 826371072.

The previous prime is 3243713027. The next prime is 3243713047. The reversal of 3243713040 is 403173423.

3243713040 is a `hidden beast` number, since 324 + 37 + 1 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3243712995 and 3243713013.

It is not an unprimeable number, because it can be changed into a prime (3243713047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19899999 + ... + 19900161.

Almost surely, 2^3243713040 is an apocalyptic number.

3243713040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243713040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890810464).

3243713040 is an abundant number, since it is smaller than the sum of its proper divisors (8537907888).

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

3243713040 is a wasteful number, since it uses less digits than its factorization.

3243713040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3243713040 is about 56953.6042757612. The cubic root of 3243713040 is about 1480.2922846154.

Adding to 3243713040 its reverse (403173423), we get a palindrome (3646886463).

The spelling of 3243713040 in words is "three billion, two hundred forty-three million, seven hundred thirteen thousand, forty".