3078228960 has 384 divisors, whose sum is σ = 11224604160. Its totient is φ = 787304448.

The previous prime is 3078228919. The next prime is 3078229009. The reversal of 3078228960 is 698228703.

3078228960 is a `hidden beast` number, since 307 + 8 + 2 + 289 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13560367 + ... + 13560593.

It is an arithmetic number, because the mean of its divisors is an integer number (29230740).

Almost surely, 2^3078228960 is an apocalyptic number.

3078228960 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 3078228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612302080).

3078228960 is an abundant number, since it is smaller than the sum of its proper divisors (8146375200).

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

3078228960 is a wasteful number, since it uses less digits than its factorization.

3078228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3078228960 is about 55481.7894448259. The cubic root of 3078228960 is about 1454.6783431808.

The spelling of 3078228960 in words is "three billion, seventy-eight million, two hundred twenty-eight thousand, nine hundred sixty".