3242340000 has 180 divisors, whose sum is σ = 11522456946. Its totient is φ = 864576000.

The previous prime is 3242339981. The next prime is 3242340029. The reversal of 3242340000 is 432423.

3242340000 is a `hidden beast` number, since 324 + 2 + 340 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 417630096 + 2824709904 = 20436^2 + 53148^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 170994 + ... + 189006.

Almost surely, 2^3242340000 is an apocalyptic number.

3242340000 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 3242340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761228473).

3242340000 is an abundant number, since it is smaller than the sum of its proper divisors (8280116946).

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

3242340000 is a wasteful number, since it uses less digits than its factorization.

3242340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18049 (or 18023 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3242340000 is about 56941.5489778773. The cubic root of 3242340000 is about 1480.0833895064.

Adding to 3242340000 its reverse (432423), we get a palindrome (3242772423).

The spelling of 3242340000 in words is "three billion, two hundred forty-two million, three hundred forty thousand".