3289968000 has 768 divisors, whose sum is σ = 13503559680. Its totient is φ = 760320000.

The previous prime is 3289967987. The next prime is 3289968007. The reversal of 3289968000 is 8699823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289968007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49103967 + ... + 49104033.

It is an arithmetic number, because the mean of its divisors is an integer number (17582760).

Almost surely, 2^3289968000 is an apocalyptic number.

3289968000 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 3289968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751779840).

3289968000 is an abundant number, since it is smaller than the sum of its proper divisors (10213591680).

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

3289968000 is a wasteful number, since it uses less digits than its factorization.

3289968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3289968000 is about 57358.2426509042. The cubic root of 3289968000 is about 1487.2953653013.

The spelling of 3289968000 in words is "three billion, two hundred eighty-nine million, nine hundred sixty-eight thousand".