3441344032000 has 144 divisors (see below), whose sum is σ = 9797507096832. Its totient is φ = 1179889305600.

The previous prime is 3441344031953. The next prime is 3441344032003. The reversal of 3441344032000 is 2304431443.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3441344032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441344032003) 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 15 ways as a sum of consecutive naturals, for example, 7457572 + ... + 7905571.

It is an arithmetic number, because the mean of its divisors is an integer number (68038243728).

Almost surely, 2^{3441344032000} is an apocalyptic number.

It is an amenable number.

3441344032000 is an abundant number, since it is smaller than the sum of its proper divisors (6356163064832).

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

3441344032000 is an equidigital number, since it uses as much as digits as its factorization.

3441344032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15363181 (or 15363157 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3441344032000 its reverse (2304431443), we get a palindrome (3443648463443).

The spelling of 3441344032000 in words is "three trillion, four hundred forty-one billion, three hundred forty-four million, thirty-two thousand".