3066725760 has 384 divisors, whose sum is σ = 11691721440. Its totient is φ = 681246720.

The previous prime is 3066725689. The next prime is 3066725789. The reversal of 3066725760 is 675276603.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3480520 + ... + 3481400.

Almost surely, 2^3066725760 is an apocalyptic number.

3066725760 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 3066725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845860720).

3066725760 is an abundant number, since it is smaller than the sum of its proper divisors (8624995680).

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

3066725760 is a wasteful number, since it uses less digits than its factorization.

3066725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The square root of 3066725760 is about 55378.0259669844. The cubic root of 3066725760 is about 1452.8640593216.

The spelling of 3066725760 in words is "three billion, sixty-six million, seven hundred twenty-five thousand, seven hundred sixty".