3442411301200 has 60 divisors (see below), whose sum is σ = 8270812269180. Its totient is φ = 1376894740480.

The previous prime is 3442411301167. The next prime is 3442411301201. The reversal of 3442411301200 is 21031142443.

It can be written as a sum of positive squares in 6 ways, for example, as 291090462784 + 3151320838416 = 539528^2 + 1775196^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442411301201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8079096 + ... + 8494504.

It is an arithmetic number, because the mean of its divisors is an integer number (137846871153).

Almost surely, 2^{3442411301200} is an apocalyptic number.

It is an amenable number.

3442411301200 is an abundant number, since it is smaller than the sum of its proper divisors (4828400967980).

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

3442411301200 is a wasteful number, since it uses less digits than its factorization.

3442411301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436144 (or 436133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3442411301200 its reverse (21031142443), we get a palindrome (3463442443643).

The spelling of 3442411301200 in words is "three trillion, four hundred forty-two billion, four hundred eleven million, three hundred one thousand, two hundred".