3285305352 has 576 divisors, whose sum is σ = 12225816000. Its totient is φ = 809948160.

The previous prime is 3285305341. The next prime is 3285305357. The reversal of 3285305352 is 2535035823.

3285305352 is a `hidden beast` number, since 3 + 28 + 530 + 53 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3285305357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105977577 + ... + 105977607.

It is an arithmetic number, because the mean of its divisors is an integer number (21225375).

Almost surely, 2^3285305352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285305352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112908000).

3285305352 is an abundant number, since it is smaller than the sum of its proper divisors (8940510648).

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

3285305352 is a wasteful number, since it uses less digits than its factorization.

3285305352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 3285305352 is about 57317.5832707556. The cubic root of 3285305352 is about 1486.5924189114.

The spelling of 3285305352 in words is "three billion, two hundred eighty-five million, three hundred five thousand, three hundred fifty-two".