3240203534400 has 672 divisors, whose sum is σ = 12322021340160. Its totient is φ = 730123591680.

The previous prime is 3240203534387. The next prime is 3240203534401. The reversal of 3240203534400 is 44353020423.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3240203534401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1726266262 + ... + 1726268138.

It is an arithmetic number, because the mean of its divisors is an integer number (18336341280).

Almost surely, 2^{3240203534400} is an apocalyptic number.

3240203534400 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 3240203534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161010670080).

3240203534400 is an abundant number, since it is smaller than the sum of its proper divisors (9081817805760).

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

3240203534400 is a wasteful number, since it uses less digits than its factorization.

3240203534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 3240203534400 its reverse (44353020423), we get a palindrome (3284556554823).

The spelling of 3240203534400 in words is "three trillion, two hundred forty billion, two hundred three million, five hundred thirty-four thousand, four hundred".