3325608000 has 1344 divisors, whose sum is σ = 15576986880. Its totient is φ = 663552000.

The previous prime is 3325607977. The next prime is 3325608073. The reversal of 3325608000 is 8065233.

3325608000 is a `hidden beast` number, since 33 + 25 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3325608000² = 22119337139328000000, 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 191 ways as a sum of consecutive naturals, for example, 175031991 + ... + 175032009.

It is an arithmetic number, because the mean of its divisors is an integer number (11590020).

Almost surely, 2^3325608000 is an apocalyptic number.

3325608000 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 3325608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788493440).

3325608000 is an abundant number, since it is smaller than the sum of its proper divisors (12251378880).

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

3325608000 is a wasteful number, since it uses less digits than its factorization.

3325608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

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

The square root of 3325608000 is about 57668.0847609837. The cubic root of 3325608000 is about 1492.6466780081.

The spelling of 3325608000 in words is "three billion, three hundred twenty-five million, six hundred eight thousand".