3000182976 has 504 divisors, whose sum is σ = 10792943616. Its totient is φ = 823011840.

The previous prime is 3000182963. The next prime is 3000182993. The reversal of 3000182976 is 6792810003.

It is a tau number, because it is divible by the number of its divisors (504).

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 3000182976.

It is a congruent number.

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, 23623425 + ... + 23623551.

Almost surely, 2^3000182976 is an apocalyptic number.

3000182976 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 3000182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396471808).

3000182976 is an abundant number, since it is smaller than the sum of its proper divisors (7792760640).

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

3000182976 is a wasteful number, since it uses less digits than its factorization.

3000182976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3000182976 is about 54773.9260597595. The cubic root of 3000182976 is about 1442.2788916066.

Adding to 3000182976 its reverse (6792810003), we get a palindrome (9792992979).

The spelling of 3000182976 in words is "three billion, one hundred eighty-two thousand, nine hundred seventy-six".