3321648000 has 640 divisors, whose sum is σ = 13515971040. Its totient is φ = 801792000.

The previous prime is 3321647999. The next prime is 3321648007. The reversal of 3321648000 is 8461233.

3321648000 = 271³ + 272³ + ... + 369³.

It is a happy number.

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

It is a super-2 number, since 2×3321648000² = 22066690871808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321648007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255884 + ... + 14256116.

Almost surely, 2^3321648000 is an apocalyptic number.

3321648000 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 3321648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757985520).

3321648000 is an abundant number, since it is smaller than the sum of its proper divisors (10194323040).

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

3321648000 is a wasteful number, since it uses less digits than its factorization.

3321648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3321648000 is about 57633.7401180940. The cubic root of 3321648000 is about 1492.0539815203.

The spelling of 3321648000 in words is "three billion, three hundred twenty-one million, six hundred forty-eight thousand".