3282048000 has 1056 divisors, whose sum is σ = 15144000768. Its totient is φ = 663552000.

The previous prime is 3282047959. The next prime is 3282048031. The reversal of 3282048000 is 8402823.

It is a tau number, because it is divible by the number of its divisors (1056).

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, 88703982 + ... + 88704018.

Almost surely, 2^3282048000 is an apocalyptic number.

3282048000 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 3282048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7572000384).

3282048000 is an abundant number, since it is smaller than the sum of its proper divisors (11861952768).

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

3282048000 is a wasteful number, since it uses less digits than its factorization.

3282048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3282048000 is about 57289.1612785525. The cubic root of 3282048000 is about 1486.1009419114.

The spelling of 3282048000 in words is "three billion, two hundred eighty-two million, forty-eight thousand".