3284864983296 has 576 divisors, whose sum is σ = 10606692096000. Its totient is φ = 996769013760.

The previous prime is 3284864983291. The next prime is 3284864983321. The reversal of 3284864983296 is 6923894684823.

3284864983296 is a `hidden beast` number, since 3 + 2 + 8 + 48 + 6 + 498 + 3 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3284864983291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2107032565 + ... + 2107034123.

It is an arithmetic number, because the mean of its divisors is an integer number (18414396000).

Almost surely, 2^{3284864983296} is an apocalyptic number.

3284864983296 is a gapful number since it is divisible by the number (36) 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 3284864983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303346048000).

3284864983296 is an abundant number, since it is smaller than the sum of its proper divisors (7321827112704).

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

3284864983296 is a wasteful number, since it uses less digits than its factorization.

3284864983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1887 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 3284864983296 in words is "three trillion, two hundred eighty-four billion, eight hundred sixty-four million, nine hundred eighty-three thousand, two hundred ninety-six".