3224800403712 has 216 divisors, whose sum is σ = 9338013869184. Its totient is φ = 1070303588352.

The previous prime is 3224800403687. The next prime is 3224800403719. The reversal of 3224800403712 is 2173040084223.

It is a happy number.

3224800403712 is a `hidden beast` number, since 3 + 2 + 248 + 0 + 0 + 40 + 371 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3224800403719) 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 23 ways as a sum of consecutive naturals, for example, 805593903 + ... + 805597905.

Almost surely, 2^{3224800403712} is an apocalyptic number.

3224800403712 is a gapful number since it is divisible by the number (32) 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 3224800403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669006934592).

3224800403712 is an abundant number, since it is smaller than the sum of its proper divisors (6113213465472).

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

3224800403712 is a wasteful number, since it uses less digits than its factorization.

3224800403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 3224800403712 its reverse (2173040084223), we get a palindrome (5397840487935).

The spelling of 3224800403712 in words is "three trillion, two hundred twenty-four billion, eight hundred million, four hundred three thousand, seven hundred twelve".