3009977568 has 432 divisors, whose sum is σ = 10379665296. Its totient is φ = 819486720.

The previous prime is 3009977561. The next prime is 3009977569. The reversal of 3009977568 is 8657799003.

3009977568 is a `hidden beast` number, since 3 + 0 + 0 + 9 + 9 + 77 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009977561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22976863 + ... + 22976993.

It is an arithmetic number, because the mean of its divisors is an integer number (24027003).

Almost surely, 2^3009977568 is an apocalyptic number.

3009977568 is a gapful number since it is divisible by the number (38) 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 3009977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189832648).

3009977568 is an abundant number, since it is smaller than the sum of its proper divisors (7369687728).

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

3009977568 is a wasteful number, since it uses less digits than its factorization.

3009977568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 3009977568 is about 54863.2624622342. The cubic root of 3009977568 is about 1443.8467057953.

The spelling of 3009977568 in words is "three billion, nine million, nine hundred seventy-seven thousand, five hundred sixty-eight".