3066131880 has 640 divisors, whose sum is σ = 12545280000. Its totient is φ = 670602240.

The previous prime is 3066131869. The next prime is 3066131881. The reversal of 3066131880 is 881316603.

3066131880 is a `hidden beast` number, since 30 + 6 + 613 + 1 + 8 + 8 + 0 = 666.

3066131880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3066131881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34450876 + ... + 34450964.

It is an arithmetic number, because the mean of its divisors is an integer number (19602000).

Almost surely, 2^3066131880 is an apocalyptic number.

3066131880 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 3066131880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272640000).

3066131880 is an abundant number, since it is smaller than the sum of its proper divisors (9479148120).

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

3066131880 is a wasteful number, since it uses less digits than its factorization.

3066131880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3066131880 is about 55372.6636527448. The cubic root of 3066131880 is about 1452.7702695408.

The spelling of 3066131880 in words is "three billion, sixty-six million, one hundred thirty-one thousand, eight hundred eighty".