3204286441200 has 720 divisors, whose sum is σ = 12999792960000. Its totient is φ = 747226321920.

The previous prime is 3204286441151. The next prime is 3204286441211. The reversal of 3204286441200 is 21446824023.

3204286441200 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 2 + 8 + 6 + 441 + 200 = 666.

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

It is a super-2 number, since 2×3204286441200² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34632601 + ... + 34724999.

It is an arithmetic number, because the mean of its divisors is an integer number (18055268000).

Almost surely, 2^{3204286441200} is an apocalyptic number.

3204286441200 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 3204286441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499896480000).

3204286441200 is an abundant number, since it is smaller than the sum of its proper divisors (9795506518800).

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

3204286441200 is a wasteful number, since it uses less digits than its factorization.

3204286441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92471 (or 92441 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 3204286441200 in words is "three trillion, two hundred four billion, two hundred eighty-six million, four hundred forty-one thousand, two hundred".