3133728000 has 864 divisors, whose sum is σ = 12999447552. Its totient is φ = 746496000.

The previous prime is 3133727977. The next prime is 3133728001. The reversal of 3133728000 is 8273313.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×3133728000³ (a number of 29 digits) contains 333 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 (3133728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101087985 + ... + 101088015.

Almost surely, 2^3133728000 is an apocalyptic number.

3133728000 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 3133728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499723776).

3133728000 is an abundant number, since it is smaller than the sum of its proper divisors (9865719552).

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

3133728000 is an equidigital number, since it uses as much as digits as its factorization.

3133728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3133728000 is about 55979.7106101845. The cubic root of 3133728000 is about 1463.3687146567.

The spelling of 3133728000 in words is "three billion, one hundred thirty-three million, seven hundred twenty-eight thousand".