3302688896 has 128 divisors (see below), whose sum is σ = 7422030000. Its totient is φ = 1453326336.

The previous prime is 3302688869. The next prime is 3302688937. The reversal of 3302688896 is 6988862033.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 457960000 + 2844728896 = 21400^2 + 53336^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294400 + ... + 4295168.

Almost surely, 2^3302688896 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 3302688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711015000).

3302688896 is an abundant number, since it is smaller than the sum of its proper divisors (4119341104).

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

3302688896 is a wasteful number, since it uses less digits than its factorization.

3302688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The square root of 3302688896 is about 57469.0255355004. The cubic root of 3302688896 is about 1489.2098111846.

The spelling of 3302688896 in words is "three billion, three hundred two million, six hundred eighty-eight thousand, eight hundred ninety-six".