3066809040 has 200 divisors, whose sum is σ = 10706734368. Its totient is φ = 813576960.

The previous prime is 3066809021. The next prime is 3066809041. The reversal of 3066809040 is 409086603.

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

It is a junction number, because it is equal to n+sod(n) for n = 3066808986 and 3066809004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066809041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1366159 + ... + 1368401.

Almost surely, 2^3066809040 is an apocalyptic number.

3066809040 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 3066809040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353367184).

3066809040 is an abundant number, since it is smaller than the sum of its proper divisors (7639925328).

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

3066809040 is a wasteful number, since it uses less digits than its factorization.

3066809040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3066809040 is about 55378.7778846735. Note that the first 3 decimals coincide. The cubic root of 3066809040 is about 1452.8772105273.

The spelling of 3066809040 in words is "three billion, sixty-six million, eight hundred nine thousand, forty".