3003993216 has 432 divisors, whose sum is σ = 10584881190. Its totient is φ = 846526464.

The previous prime is 3003993137. The next prime is 3003993229. The reversal of 3003993216 is 6123993003.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 514382400 = 49896^2 + 22680^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 41150556 + ... + 41150628.

Almost surely, 2^3003993216 is an apocalyptic number.

3003993216 is a gapful number since it is divisible by the number (36) 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 3003993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292440595).

3003993216 is an abundant number, since it is smaller than the sum of its proper divisors (7580887974).

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

3003993216 is an frugal number, since it uses more digits than its factorization.

3003993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3003993216 is about 54808.6965362250. The cubic root of 3003993216 is about 1442.8891992672.

The spelling of 3003993216 in words is "three billion, three million, nine hundred ninety-three thousand, two hundred sixteen".