3003928000 has 112 divisors (see below), whose sum is σ = 7524597600. Its totient is φ = 1187788800.

The previous prime is 3003927937. The next prime is 3003928007. The reversal of 3003928000 is 8293003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003928007) 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 15 ways as a sum of consecutive naturals, for example, 709891 + ... + 714109.

Almost surely, 2^3003928000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762298800).

3003928000 is an abundant number, since it is smaller than the sum of its proper divisors (4520669600).

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

3003928000 is an equidigital number, since it uses as much as digits as its factorization.

3003928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 3003928000 is about 54808.1015909145. The cubic root of 3003928000 is about 1442.8787575944.

The spelling of 3003928000 in words is "three billion, three million, nine hundred twenty-eight thousand".