3412224000 has 288 divisors, whose sum is σ = 12307506120. Its totient is φ = 909312000.

The previous prime is 3412223989. The next prime is 3412224001. The reversal of 3412224000 is 4222143.

3412224000 is a `hidden beast` number, since 3 + 41 + 222 + 400 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 891380736 + 2520843264 = 29856^2 + 50208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3412224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303260 + ... + 2304740.

Almost surely, 2^3412224000 is an apocalyptic number.

3412224000 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 3412224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153753060).

3412224000 is an abundant number, since it is smaller than the sum of its proper divisors (8895282120).

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

3412224000 is a wasteful number, since it uses less digits than its factorization.

3412224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3412224000 is about 58414.2448380530. The cubic root of 3412224000 is about 1505.4945156242.

Adding to 3412224000 its reverse (4222143), we get a palindrome (3416446143).

The spelling of 3412224000 in words is "three billion, four hundred twelve million, two hundred twenty-four thousand".