3285533712384 has 1792 divisors, whose sum is σ = 12884115456000. Its totient is φ = 819354009600.

The previous prime is 3285533712361. The next prime is 3285533712421. The reversal of 3285533712384 is 4832173355823.

3285533712384 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 533 + 7 + 1 + 23 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14515200) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 3285533712384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25870344129 + ... + 25870344255.

Almost surely, 2^{3285533712384} 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 3285533712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442057728000).

3285533712384 is an abundant number, since it is smaller than the sum of its proper divisors (9598581743616).

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

3285533712384 is a wasteful number, since it uses less digits than its factorization.

3285533712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 181 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 3285533712384 in words is "three trillion, two hundred eighty-five billion, five hundred thirty-three million, seven hundred twelve thousand, three hundred eighty-four".