3284007168 has 144 divisors (see below), whose sum is σ = 9512416256. Its totient is φ = 999751680.

The previous prime is 3284007161. The next prime is 3284007179. The reversal of 3284007168 is 8617004823.

3284007168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3284007161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966753 + ... + 970143.

Almost surely, 2^3284007168 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 3284007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756208128).

3284007168 is an abundant number, since it is smaller than the sum of its proper divisors (6228409088).

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

3284007168 is a wasteful number, since it uses less digits than its factorization.

3284007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3284007168 is about 57306.2576687747. The cubic root of 3284007168 is about 1486.3965847817.

The spelling of 3284007168 in words is "three billion, two hundred eighty-four million, seven thousand, one hundred sixty-eight".