3388608000 has 640 divisors, whose sum is σ = 13098983040. Its totient is φ = 862617600.

The previous prime is 3388607993. The next prime is 3388608017. The reversal of 3388608000 is 8068833.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3388608000² = 22965328355328000000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63935974 + ... + 63936026.

It is an arithmetic number, because the mean of its divisors is an integer number (20467161).

Almost surely, 2^3388608000 is an apocalyptic number.

3388608000 is a gapful number since it is divisible by the number (30) 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 3388608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549491520).

3388608000 is an abundant number, since it is smaller than the sum of its proper divisors (9710375040).

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

3388608000 is an equidigital number, since it uses as much as digits as its factorization.

3388608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3388608000 is about 58211.7513909348. The cubic root of 3388608000 is about 1502.0132965490.

The spelling of 3388608000 in words is "three billion, three hundred eighty-eight million, six hundred eight thousand".