3240020114400 has 144 divisors (see below), whose sum is σ = 10831299971184. Its totient is φ = 840653844480.

The previous prime is 3240020114393. The next prime is 3240020114407. The reversal of 3240020114400 is 44110200423.

It is an interprime number because it is at equal distance from previous prime (3240020114393) and next prime (3240020114407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3240020114407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18154557 + ... + 18332156.

It is an arithmetic number, because the mean of its divisors is an integer number (75217360911).

Almost surely, 2^{3240020114400} is an apocalyptic number.

3240020114400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3240020114400 is an abundant number, since it is smaller than the sum of its proper divisors (7591279856784).

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

3240020114400 is a wasteful number, since it uses less digits than its factorization.

3240020114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36486773 (or 36486760 counting only the distinct ones).

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

Adding to 3240020114400 its reverse (44110200423), we get a palindrome (3284130314823).

The spelling of 3240020114400 in words is "three trillion, two hundred forty billion, twenty million, one hundred fourteen thousand, four hundred".