3645201341200 has 60 divisors (see below), whose sum is σ = 8764817171428. Its totient is φ = 1456878297600.

The previous prime is 3645201341081. The next prime is 3645201341203. The reversal of 3645201341200 is 21431025463.

3645201341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 45059401984 + 3600141939216 = 212272^2 + 1897404^2 .

It is not an unprimeable number, because it can be changed into a prime (3645201341203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3271191 + ... + 4241590.

Almost surely, 2^{3645201341200} is an apocalyptic number.

It is an amenable number.

3645201341200 is an abundant number, since it is smaller than the sum of its proper divisors (5119615830228).

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

3645201341200 is a wasteful number, since it uses less digits than its factorization.

3645201341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514012 (or 7514001 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 3645201341200 its reverse (21431025463), we get a palindrome (3666632366663).

The spelling of 3645201341200 in words is "three trillion, six hundred forty-five billion, two hundred one million, three hundred forty-one thousand, two hundred".