3382800608 has 48 divisors (see below), whose sum is σ = 7287147504. Its totient is φ = 1533020160.

The previous prime is 3382800599. The next prime is 3382800611. The reversal of 3382800608 is 8060082833.

It is a super-2 number, since 2×3382800608² = 22886679906970339328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104366 + ... + 132882.

It is an arithmetic number, because the mean of its divisors is an integer number (151815573).

Almost surely, 2^3382800608 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 3382800608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643573752).

3382800608 is an abundant number, since it is smaller than the sum of its proper divisors (3904346896).

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

3382800608 is a wasteful number, since it uses less digits than its factorization.

3382800608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28875 (or 28867 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 3382800608 is about 58161.8483887849. The cubic root of 3382800608 is about 1501.1547564266.

The spelling of 3382800608 in words is "three billion, three hundred eighty-two million, eight hundred thousand, six hundred eight".