3803328000 has 640 divisors, whose sum is σ = 14707630080. Its totient is φ = 967680000.

The previous prime is 3803327993. The next prime is 3803328019. The reversal of 3803328000 is 8233083.

3803328000 is a `hidden beast` number, since 380 + 3 + 3 + 280 + 0 + 0 = 666.

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

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53567965 + ... + 53568035.

It is an arithmetic number, because the mean of its divisors is an integer number (22980672).

Almost surely, 2^3803328000 is an apocalyptic number.

3803328000 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 3803328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353815040).

3803328000 is an abundant number, since it is smaller than the sum of its proper divisors (10904302080).

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

3803328000 is an equidigital number, since it uses as much as digits as its factorization.

3803328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

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

The square root of 3803328000 is about 61671.1277665651. The cubic root of 3803328000 is about 1560.9461715739.

The spelling of 3803328000 in words is "three billion, eight hundred three million, three hundred twenty-eight thousand".