3283668864 has 288 divisors, whose sum is σ = 11479712400. Its totient is φ = 882376704.

The previous prime is 3283668851. The next prime is 3283668907. The reversal of 3283668864 is 4688663823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3283668864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2329792 + ... + 2331200.

Almost surely, 2^3283668864 is an apocalyptic number.

3283668864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283668864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739856200).

3283668864 is an abundant number, since it is smaller than the sum of its proper divisors (8196043536).

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

3283668864 is a wasteful number, since it uses less digits than its factorization.

3283668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1438 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3283668864 is about 57303.3058732217. The cubic root of 3283668864 is about 1486.3455423455.

The spelling of 3283668864 in words is "three billion, two hundred eighty-three million, six hundred sixty-eight thousand, eight hundred sixty-four".