3284916096000 has 2112 divisors, whose sum is σ = 14153816102400. Its totient is φ = 668516352000.

The previous prime is 3284916095987. The next prime is 3284916096023. The reversal of 3284916096000 is 6906194823.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 12211583866 + ... + 12211584134.

Almost surely, 2^{3284916096000} is an apocalyptic number.

3284916096000 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 3284916096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076908051200).

3284916096000 is an abundant number, since it is smaller than the sum of its proper divisors (10868900006400).

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

3284916096000 is a wasteful number, since it uses less digits than its factorization.

3284916096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 3284916096000 in words is "three trillion, two hundred eighty-four billion, nine hundred sixteen million, ninety-six thousand".