3285516960 has 288 divisors, whose sum is σ = 12531879360. Its totient is φ = 776908800.

The previous prime is 3285516931. The next prime is 3285517021. The reversal of 3285516960 is 696155823.

3285516960 is a `hidden beast` number, since 3 + 2 + 8 + 551 + 6 + 96 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646911 + ... + 651969.

It is an arithmetic number, because the mean of its divisors is an integer number (43513470).

Almost surely, 2^3285516960 is an apocalyptic number.

3285516960 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 3285516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265939680).

3285516960 is an abundant number, since it is smaller than the sum of its proper divisors (9246362400).

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

3285516960 is a wasteful number, since it uses less digits than its factorization.

3285516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3285516960 is about 57319.4291667319. The cubic root of 3285516960 is about 1486.6243355890.

The spelling of 3285516960 in words is "three billion, two hundred eighty-five million, five hundred sixteen thousand, nine hundred sixty".