3282472893120 has 224 divisors, whose sum is σ = 10451328652800. Its totient is φ = 872853504000.

The previous prime is 3282472893097. The next prime is 3282472893121. The reversal of 3282472893120 is 213982742823.

It is not an unprimeable number, because it can be changed into a prime (3282472893121) 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 31 ways as a sum of consecutive naturals, for example, 820411120 + ... + 820415120.

It is an arithmetic number, because the mean of its divisors is an integer number (46657717200).

Almost surely, 2^{3282472893120} is an apocalyptic number.

3282472893120 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 3282472893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225664326400).

3282472893120 is an abundant number, since it is smaller than the sum of its proper divisors (7168855759680).

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

3282472893120 is a wasteful number, since it uses less digits than its factorization.

3282472893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 3282472893120 in words is "three trillion, two hundred eighty-two billion, four hundred seventy-two million, eight hundred ninety-three thousand, one hundred twenty".