3612224000 has 320 divisors, whose sum is σ = 11245208832. Its totient is φ = 1124352000.

The previous prime is 3612223981. The next prime is 3612224009. The reversal of 3612224000 is 4222163.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3612224009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4927634 + ... + 4928366.

Almost surely, 2^3612224000 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 3612224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622604416).

3612224000 is an abundant number, since it is smaller than the sum of its proper divisors (7632984832).

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

3612224000 is an equidigital number, since it uses as much as digits as its factorization.

3612224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3612224000 is about 60101.7803396871. The cubic root of 3612224000 is about 1534.3516025623.

Adding to 3612224000 its reverse (4222163), we get a palindrome (3616446163).

The spelling of 3612224000 in words is "three billion, six hundred twelve million, two hundred twenty-four thousand".