3289616064 has 280 divisors, whose sum is σ = 11219139360. Its totient is φ = 933617664.

The previous prime is 3289616047. The next prime is 3289616081. The reversal of 3289616064 is 4606169823.

3289616064 is a `hidden beast` number, since 3 + 28 + 9 + 616 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3289616047) and next prime (3289616081).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9761304 + ... + 9761640.

Almost surely, 2^3289616064 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 3289616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609569680).

3289616064 is an abundant number, since it is smaller than the sum of its proper divisors (7929523296).

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

3289616064 is a wasteful number, since it uses less digits than its factorization.

3289616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3289616064 is about 57355.1746924373. The cubic root of 3289616064 is about 1487.2423301910.

The spelling of 3289616064 in words is "three billion, two hundred eighty-nine million, six hundred sixteen thousand, sixty-four".