3066918400 has 240 divisors, whose sum is σ = 9355588704. Its totient is φ = 970260480.

The previous prime is 3066918377. The next prime is 3066918409. The reversal of 3066918400 is 48196603.

It is a self number, because there is not a number n which added to its sum of digits gives 3066918400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066918409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163484 + ... + 1166116.

Almost surely, 2^3066918400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677794352).

3066918400 is an abundant number, since it is smaller than the sum of its proper divisors (6288670304).

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

3066918400 is a wasteful number, since it uses less digits than its factorization.

3066918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3066918400 is about 55379.7652577185. The cubic root of 3066918400 is about 1452.8944798085.

The spelling of 3066918400 in words is "three billion, sixty-six million, nine hundred eighteen thousand, four hundred".