3352608000 has 432 divisors, whose sum is σ = 13795332096. Its totient is φ = 765849600.

The previous prime is 3352607981. The next prime is 3352608011. The reversal of 3352608000 is 8062533.

3352608000 is a `hidden beast` number, since 3 + 3 + 52 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3352608000² = 22479960803328000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015169 + ... + 2016831.

Almost surely, 2^3352608000 is an apocalyptic number.

3352608000 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 3352608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897666048).

3352608000 is an abundant number, since it is smaller than the sum of its proper divisors (10442724096).

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

3352608000 is a wasteful number, since it uses less digits than its factorization.

3352608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3352608000 is about 57901.7098193136. The cubic root of 3352608000 is about 1496.6753030378.

The spelling of 3352608000 in words is "three billion, three hundred fifty-two million, six hundred eight thousand".