3545643400200 has 576 divisors, whose sum is σ = 13138279989120. Its totient is φ = 849761280000.

The previous prime is 3545643400171. The next prime is 3545643400213. The reversal of 3545643400200 is 20043465453.

3545643400200 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 6 + 43 + 400 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2593739917 + ... + 2593741283.

It is an arithmetic number, because the mean of its divisors is an integer number (22809513870).

Almost surely, 2^{3545643400200} is an apocalyptic number.

3545643400200 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 3545643400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569139994560).

3545643400200 is an abundant number, since it is smaller than the sum of its proper divisors (9592636588920).

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

3545643400200 is a wasteful number, since it uses less digits than its factorization.

3545643400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3545643400200 its reverse (20043465453), we get a palindrome (3565686865653).

The spelling of 3545643400200 in words is "three trillion, five hundred forty-five billion, six hundred forty-three million, four hundred thousand, two hundred".