3285960048 has 200 divisors, whose sum is σ = 10916310240. Its totient is φ = 934778880.

The previous prime is 3285960037. The next prime is 3285960059. The reversal of 3285960048 is 8400695823.

3285960048 is a `hidden beast` number, since 32 + 8 + 5 + 9 + 600 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3285960037) and next prime (3285960059).

It is a junction number, because it is equal to n+sod(n) for n = 3285959985 and 3285960012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2548588 + ... + 2549876.

It is a vampire number, since it can be written as 35406 ⋅ 92808 (with its own digits).

Almost surely, 2^3285960048 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 3285960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458155120).

3285960048 is an abundant number, since it is smaller than the sum of its proper divisors (7630350192).

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

3285960048 is a wasteful number, since it uses less digits than its factorization.

3285960048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3285960048 is about 57323.2941133009. The cubic root of 3285960048 is about 1486.6911617844.

The spelling of 3285960048 in words is "three billion, two hundred eighty-five million, nine hundred sixty thousand, forty-eight".