3022778304 has 448 divisors, whose sum is σ = 11197132800. Its totient is φ = 778346496.

The previous prime is 3022778281. The next prime is 3022778321. The reversal of 3022778304 is 4038772203.

3022778304 is a `hidden beast` number, since 302 + 277 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7390452 + ... + 7390860.

It is an arithmetic number, because the mean of its divisors is an integer number (24993600).

Almost surely, 2^3022778304 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 3022778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598566400).

3022778304 is an abundant number, since it is smaller than the sum of its proper divisors (8174354496).

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

3022778304 is a wasteful number, since it uses less digits than its factorization.

3022778304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3022778304 is about 54979.7990538343. The cubic root of 3022778304 is about 1445.8905927794.

The spelling of 3022778304 in words is "three billion, twenty-two million, seven hundred seventy-eight thousand, three hundred four".