3282996892896 has 576 divisors, whose sum is σ = 11386515119616. Its totient is φ = 875888640000.

The previous prime is 3282996892883. The next prime is 3282996892933. The reversal of 3282996892896 is 6982986992823.

3282996892896 is a `hidden beast` number, since 328 + 2 + 9 + 9 + 6 + 8 + 9 + 289 + 6 = 666.

3282996892896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2847351456 + ... + 2847352608.

It is an arithmetic number, because the mean of its divisors is an integer number (19768255416).

Almost surely, 2^{3282996892896} is an apocalyptic number.

3282996892896 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 3282996892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693257559808).

3282996892896 is an abundant number, since it is smaller than the sum of its proper divisors (8103518226720).

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

3282996892896 is a wasteful number, since it uses less digits than its factorization.

3282996892896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its digits is 2902376448, while the sum is 81.

The spelling of 3282996892896 in words is "three trillion, two hundred eighty-two billion, nine hundred ninety-six million, eight hundred ninety-two thousand, eight hundred ninety-six".