3328128000 has 528 divisors, whose sum is σ = 12553579584. Its totient is φ = 879206400.

The previous prime is 3328127993. The next prime is 3328128071. The reversal of 3328128000 is 8218233.

It is a super-2 number, since 2×3328128000² = 22152871968768000000, 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 an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31103947 + ... + 31104053.

Almost surely, 2^3328128000 is an apocalyptic number.

3328128000 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 3328128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276789792).

3328128000 is an abundant number, since it is smaller than the sum of its proper divisors (9225451584).

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

3328128000 is an equidigital number, since it uses as much as digits as its factorization.

3328128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3328128000 is about 57689.9297971492. The cubic root of 3328128000 is about 1493.0236035644.

It can be divided in two parts, 3328 and 128000, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 3328128000 in words is "three billion, three hundred twenty-eight million, one hundred twenty-eight thousand".