3282396000 has 384 divisors, whose sum is σ = 11828509056. Its totient is φ = 790732800.

The previous prime is 3282395993. The next prime is 3282396041. The reversal of 3282396000 is 6932823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8267802 + ... + 8268198.

It is an arithmetic number, because the mean of its divisors is an integer number (30803409).

Almost surely, 2^3282396000 is an apocalyptic number.

3282396000 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 3282396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914254528).

3282396000 is an abundant number, since it is smaller than the sum of its proper divisors (8546113056).

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

3282396000 is a wasteful number, since it uses less digits than its factorization.

3282396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3282396000 is about 57292.1984217747. The cubic root of 3282396000 is about 1486.1534644878.

The spelling of 3282396000 in words is "three billion, two hundred eighty-two million, three hundred ninety-six thousand".