3285360000 has 720 divisors, whose sum is σ = 13266112860. Its totient is φ = 808704000.

The previous prime is 3285359989. The next prime is 3285360031. The reversal of 3285360000 is 635823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3285360000 is a `hidden beast` number, since 3 + 2 + 8 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 252719994 + ... + 252720006.

Almost surely, 2^3285360000 is an apocalyptic number.

3285360000 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 3285360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633056430).

3285360000 is an abundant number, since it is smaller than the sum of its proper divisors (9980752860).

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

3285360000 is an frugal number, since it uses more digits than its factorization.

3285360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3285360000 is about 57318.0599811264. The cubic root of 3285360000 is about 1486.6006615600.

Adding to 3285360000 its reverse (635823), we get a palindrome (3285995823).

The spelling of 3285360000 in words is "three billion, two hundred eighty-five million, three hundred sixty thousand".