3246042240 has 768 divisors, whose sum is σ = 13747968000. Its totient is φ = 704471040.

The previous prime is 3246042223. The next prime is 3246042281. The reversal of 3246042240 is 422406423.

3246042240 is a `hidden beast` number, since 32 + 4 + 604 + 2 + 24 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61246054 + ... + 61246106.

It is an arithmetic number, because the mean of its divisors is an integer number (17901000).

Almost surely, 2^3246042240 is an apocalyptic number.

3246042240 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 3246042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

3246042240 is an abundant number, since it is smaller than the sum of its proper divisors (10501925760).

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

3246042240 is a wasteful number, since it uses less digits than its factorization.

3246042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3246042240 is about 56974.0488292696. The cubic root of 3246042240 is about 1480.6465156877.

Adding to 3246042240 its reverse (422406423), we get a palindrome (3668448663).

The spelling of 3246042240 in words is "three billion, two hundred forty-six million, forty-two thousand, two hundred forty".