3224785132800 has 1728 divisors, whose sum is σ = 14872068126720. Its totient is φ = 669750681600.

The previous prime is 3224785132769. The next prime is 3224785132837. The reversal of 3224785132800 is 82315874223.

3224785132800 is a `hidden beast` number, since 3 + 2 + 247 + 85 + 1 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3224785132800³ (a number of 39 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1609976599 + ... + 1609978601.

Almost surely, 2^{3224785132800} is an apocalyptic number.

3224785132800 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 3224785132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436034063360).

3224785132800 is an abundant number, since it is smaller than the sum of its proper divisors (11647282993920).

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

3224785132800 is a wasteful number, since it uses less digits than its factorization.

3224785132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2031 counting only the distinct ones).

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

The spelling of 3224785132800 in words is "three trillion, two hundred twenty-four billion, seven hundred eighty-five million, one hundred thirty-two thousand, eight hundred".