3324384000 has 864 divisors, whose sum is σ = 14624378496. Its totient is φ = 707788800.

The previous prime is 3324383927. The next prime is 3324384013. The reversal of 3324384000 is 4834233.

It is a super-2 number, since 2×3324384000² = 22103057958912000000, 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 95 ways as a sum of consecutive naturals, for example, 34271952 + ... + 34272048.

It is an arithmetic number, because the mean of its divisors is an integer number (16926364).

Almost surely, 2^3324384000 is an apocalyptic number.

3324384000 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 3324384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312189248).

3324384000 is an abundant number, since it is smaller than the sum of its proper divisors (11299994496).

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

3324384000 is a wasteful number, since it uses less digits than its factorization.

3324384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3324384000 is about 57657.4713285278. The cubic root of 3324384000 is about 1492.4635311746.

The spelling of 3324384000 in words is "three billion, three hundred twenty-four million, three hundred eighty-four thousand".