3324009600 has 288 divisors, whose sum is σ = 11938826640. Its totient is φ = 880588800.

The previous prime is 3324009527. The next prime is 3324009617. The reversal of 3324009600 is 69004233.

3324009600 is a `hidden beast` number, since 33 + 24 + 0 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3324009600² = 22098079641784320000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6076527 + ... + 6077073.

Almost surely, 2^3324009600 is an apocalyptic number.

3324009600 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 3324009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969413320).

3324009600 is an abundant number, since it is smaller than the sum of its proper divisors (8614817040).

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

3324009600 is a wasteful number, since it uses less digits than its factorization.

3324009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3324009600 is about 57654.2244766158. The cubic root of 3324009600 is about 1492.4075008118.

The spelling of 3324009600 in words is "three billion, three hundred twenty-four million, nine thousand, six hundred".