3242125040 has 160 divisors (see below), whose sum is σ = 9892938240. Its totient is φ = 957312000.

The previous prime is 3242125039. The next prime is 3242125087. The reversal of 3242125040 is 405212423.

It is a happy number.

It is a super-2 number, since 2×3242125040² = 21022749549990003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3242124997 and 3242125015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103190 + ... + 130890.

It is an arithmetic number, because the mean of its divisors is an integer number (61830864).

Almost surely, 2^3242125040 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 3242125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946469120).

3242125040 is an abundant number, since it is smaller than the sum of its proper divisors (6650813200).

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

3242125040 is a wasteful number, since it uses less digits than its factorization.

3242125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27751 (or 27745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 3242125040 is about 56939.6613969560. The cubic root of 3242125040 is about 1480.0506800274.

Adding to 3242125040 its reverse (405212423), we get a palindrome (3647337463).

The spelling of 3242125040 in words is "three billion, two hundred forty-two million, one hundred twenty-five thousand, forty".