3522828607200 has 720 divisors, whose sum is σ = 14812514750880. Its totient is φ = 798080532480.

The previous prime is 3522828607187. The next prime is 3522828607219. The reversal of 3522828607200 is 27068282253.

It is a happy number.

3522828607200 is a `hidden beast` number, since 35 + 2 + 2 + 8 + 2 + 8 + 607 + 2 + 0 + 0 = 666.

3522828607200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51222436 + ... + 51291164.

It is an arithmetic number, because the mean of its divisors is an integer number (20572937154).

Almost surely, 2^{3522828607200} is an apocalyptic number.

3522828607200 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 3522828607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406257375440).

3522828607200 is an abundant number, since it is smaller than the sum of its proper divisors (11289686143680).

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

3522828607200 is a wasteful number, since it uses less digits than its factorization.

3522828607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68881 (or 68859 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 3522828607200 in words is "three trillion, five hundred twenty-two billion, eight hundred twenty-eight million, six hundred seven thousand, two hundred".