3240210144 has 96 divisors (see below), whose sum is σ = 9105264000. Its totient is φ = 1005848064.

The previous prime is 3240210133. The next prime is 3240210151. The reversal of 3240210144 is 4410120423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3240210144.

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 15 ways as a sum of consecutive naturals, for example, 92562 + ... + 122670.

It is an arithmetic number, because the mean of its divisors is an integer number (94846500).

Almost surely, 2^3240210144 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 3240210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552632000).

3240210144 is an abundant number, since it is smaller than the sum of its proper divisors (5865053856).

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

3240210144 is a wasteful number, since it uses less digits than its factorization.

3240210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30200 (or 30192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3240210144 is about 56922.8437799799. The cubic root of 3240210144 is about 1479.7592352443.

Adding to 3240210144 its reverse (4410120423), we get a palindrome (7650330567).

The spelling of 3240210144 in words is "three billion, two hundred forty million, two hundred ten thousand, one hundred forty-four".