3016478304 has 288 divisors, whose sum is σ = 10496828160. Its totient is φ = 802483200.

The previous prime is 3016478303. The next prime is 3016478321. The reversal of 3016478304 is 4038746103.

3016478304 is a `hidden beast` number, since 3 + 0 + 1 + 647 + 8 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3016478303) 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 47 ways as a sum of consecutive naturals, for example, 2335899 + ... + 2337189.

It is an arithmetic number, because the mean of its divisors is an integer number (36447320).

Almost surely, 2^3016478304 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 3016478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248414080).

3016478304 is an abundant number, since it is smaller than the sum of its proper divisors (7480349856).

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

3016478304 is a wasteful number, since it uses less digits than its factorization.

3016478304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3016478304 is about 54922.4753994210. The cubic root of 3016478304 is about 1444.8853976153.

The spelling of 3016478304 in words is "three billion, sixteen million, four hundred seventy-eight thousand, three hundred four".