3301032028608 has 448 divisors, whose sum is σ = 10430129203200. Its totient is φ = 1020074065920.

The previous prime is 3301032028597. The next prime is 3301032028649. The reversal of 3301032028608 is 8068202301033.

3301032028608 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 0 + 3 + 20 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139464216 + ... + 1139467112.

It is an arithmetic number, because the mean of its divisors is an integer number (23281538400).

Almost surely, 2^{3301032028608} 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 3301032028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215064601600).

3301032028608 is an abundant number, since it is smaller than the sum of its proper divisors (7129097174592).

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

3301032028608 is a wasteful number, since it uses less digits than its factorization.

3301032028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3301032028608 in words is "three trillion, three hundred one billion, thirty-two million, twenty-eight thousand, six hundred eight".