3000369960 has 288 divisors, whose sum is σ = 11652343560. Its totient is φ = 667118592.

The previous prime is 3000369959. The next prime is 3000369989. The reversal of 3000369960 is 699630003.

It can be written as a sum of positive squares in 4 ways, for example, as 2328834564 + 671535396 = 48258^2 + 25914^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 650382 + ... + 654978.

Almost surely, 2^3000369960 is an apocalyptic number.

3000369960 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 3000369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826171780).

3000369960 is an abundant number, since it is smaller than the sum of its proper divisors (8651973600).

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

3000369960 is a wasteful number, since it uses less digits than its factorization.

3000369960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4651 counting only the distinct ones).

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

The square root of 3000369960 is about 54775.6329036918. The cubic root of 3000369960 is about 1442.3088539429.

Adding to 3000369960 its reverse (699630003), we get a palindrome (3699999963).

The spelling of 3000369960 in words is "three billion, three hundred sixty-nine thousand, nine hundred sixty".