3283516800 has 288 divisors, whose sum is σ = 12228212880. Its totient is φ = 837365760.

The previous prime is 3283516757. The next prime is 3283516829. The reversal of 3283516800 is 86153823.

3283516800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 659922 + ... + 664878.

Almost surely, 2^3283516800 is an apocalyptic number.

3283516800 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 3283516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114106440).

3283516800 is an abundant number, since it is smaller than the sum of its proper divisors (8944696080).

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

3283516800 is a wasteful number, since it uses less digits than its factorization.

3283516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3283516800 is about 57301.9790234159. The cubic root of 3283516800 is about 1486.3225981788.

The spelling of 3283516800 in words is "three billion, two hundred eighty-three million, five hundred sixteen thousand, eight hundred".