3240220134400 has 132 divisors (see below), whose sum is σ = 8128596502152. Its totient is φ = 1280471695360.

The previous prime is 3240220134337. The next prime is 3240220134407. The reversal of 3240220134400 is 44310220423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3240220134407) 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 11 ways as a sum of consecutive naturals, for example, 1362324 + ... + 2887276.

Almost surely, 2^{3240220134400} 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 3240220134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064298251076).

3240220134400 is an abundant number, since it is smaller than the sum of its proper divisors (4888376367752).

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

3240220134400 is a wasteful number, since it uses less digits than its factorization.

3240220134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525066 (or 1525043 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 3240220134400 its reverse (44310220423), we get a palindrome (3284530354823).

The spelling of 3240220134400 in words is "three trillion, two hundred forty billion, two hundred twenty million, one hundred thirty-four thousand, four hundred".