3066833952 has 432 divisors, whose sum is σ = 11123625240. Its totient is φ = 794271744.

The previous prime is 3066833951. The next prime is 3066833953. The reversal of 3066833952 is 2593386603.

3066833952 is a `hidden beast` number, since 306 + 6 + 8 + 339 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3066833951) and next prime (3066833953).

It can be written as a sum of positive squares in 4 ways, for example, as 2809424016 + 257409936 = 53004^2 + 16044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3066833898 and 3066833907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066833951) by changing a digit.

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, 13392174 + ... + 13392402.

Almost surely, 2^3066833952 is an apocalyptic number.

3066833952 is a gapful number since it is divisible by the number (32) 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 3066833952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561812620).

3066833952 is an abundant number, since it is smaller than the sum of its proper divisors (8056791288).

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

3066833952 is a wasteful number, since it uses less digits than its factorization.

3066833952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3066833952 is about 55379.0028079235. The cubic root of 3066833952 is about 1452.8811444728.

It can be divided in two parts, 30668 and 33952, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 3066833952 in words is "three billion, sixty-six million, eight hundred thirty-three thousand, nine hundred fifty-two".