3068340480 has 288 divisors, whose sum is σ = 11125900800. Its totient is φ = 800391168.

The previous prime is 3068340467. The next prime is 3068340497. The reversal of 3068340480 is 840438603.

3068340480 is a `hidden beast` number, since 306 + 8 + 340 + 4 + 8 + 0 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1623376 + ... + 1625264.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^3068340480 is an apocalyptic number.

3068340480 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 3068340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562950400).

3068340480 is an abundant number, since it is smaller than the sum of its proper divisors (8057560320).

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

3068340480 is a wasteful number, since it uses less digits than its factorization.

3068340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3068340480 is about 55392.6031163006. The cubic root of 3068340480 is about 1453.1190062604.

The spelling of 3068340480 in words is "three billion, sixty-eight million, three hundred forty thousand, four hundred eighty".