3006303696 has 120 divisors (see below), whose sum is σ = 9239855040. Its totient is φ = 904896000.

The previous prime is 3006303689. The next prime is 3006303697. The reversal of 3006303696 is 6963036003.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3006303696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006303697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232900 + ... + 245468.

It is an arithmetic number, because the mean of its divisors is an integer number (76998792).

Almost surely, 2^3006303696 is an apocalyptic number.

3006303696 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 3006303696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619927520).

3006303696 is an abundant number, since it is smaller than the sum of its proper divisors (6233551344).

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

3006303696 is a wasteful number, since it uses less digits than its factorization.

3006303696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12745 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 3006303696 is about 54829.7701618382. The cubic root of 3006303696 is about 1443.2590305835.

Adding to 3006303696 its reverse (6963036003), we get a palindrome (9969339699).

The spelling of 3006303696 in words is "three billion, six million, three hundred three thousand, six hundred ninety-six".