3284999530800 has 960 divisors, whose sum is σ = 11924399456256. Its totient is φ = 767538892800.

The previous prime is 3284999530777. The next prime is 3284999530817. The reversal of 3284999530800 is 80359994823.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8950952217 + ... + 8950952583.

Almost surely, 2^{3284999530800} is an apocalyptic number.

3284999530800 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 3284999530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962199728128).

3284999530800 is an abundant number, since it is smaller than the sum of its proper divisors (8639399925456).

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

3284999530800 is a wasteful number, since it uses less digits than its factorization.

3284999530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 3284999530800 in words is "three trillion, two hundred eighty-four billion, nine hundred ninety-nine million, five hundred thirty thousand, eight hundred".