3066133980 has 192 divisors, whose sum is σ = 10646092800. Its totient is φ = 642041856.

The previous prime is 3066133907. The next prime is 3066134003. The reversal of 3066133980 is 893316603.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745971 + ... + 750069.

It is an arithmetic number, because the mean of its divisors is an integer number (55448400).

Almost surely, 2^3066133980 is an apocalyptic number.

3066133980 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 3066133980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323046400).

3066133980 is an abundant number, since it is smaller than the sum of its proper divisors (7579958820).

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

3066133980 is a wasteful number, since it uses less digits than its factorization.

3066133980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3066133980 is about 55372.6826151668. The cubic root of 3066133980 is about 1452.7706012092.

The spelling of 3066133980 in words is "three billion, sixty-six million, one hundred thirty-three thousand, nine hundred eighty".