3066145600 has 336 divisors, whose sum is σ = 9096044800. Its totient is φ = 1016064000.

The previous prime is 3066145583. The next prime is 3066145603. The reversal of 3066145600 is 65416603.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066145603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20305525 + ... + 20305675.

Almost surely, 2^3066145600 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 3066145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548022400).

3066145600 is an abundant number, since it is smaller than the sum of its proper divisors (6029899200).

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

3066145600 is a wasteful number, since it uses less digits than its factorization.

3066145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3066145600 is about 55372.7875404517. The cubic root of 3066145600 is about 1452.7724364381.

The spelling of 3066145600 in words is "three billion, sixty-six million, one hundred forty-five thousand, six hundred".