3284268000 has 384 divisors, whose sum is σ = 11920970880. Its totient is φ = 785203200.

The previous prime is 3284267989. The next prime is 3284268019. The reversal of 3284268000 is 8624823.

3284268000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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, 5771716 + ... + 5772284.

It is an arithmetic number, because the mean of its divisors is an integer number (31044195).

Almost surely, 2^3284268000 is an apocalyptic number.

3284268000 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 3284268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960485440).

3284268000 is an abundant number, since it is smaller than the sum of its proper divisors (8636702880).

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

3284268000 is a wasteful number, since it uses less digits than its factorization.

3284268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3284268000 is about 57308.5333959961. The cubic root of 3284268000 is about 1486.4359360488.

The spelling of 3284268000 in words is "three billion, two hundred eighty-four million, two hundred sixty-eight thousand".