3073112064 has 288 divisors, whose sum is σ = 10118908800. Its totient is φ = 889405440.

The previous prime is 3073112047. The next prime is 3073112069. The reversal of 3073112064 is 4602113703.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3073112069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4662967 + ... + 4663625.

It is an arithmetic number, because the mean of its divisors is an integer number (35135100).

Almost surely, 2^3073112064 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 3073112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059454400).

3073112064 is an abundant number, since it is smaller than the sum of its proper divisors (7045796736).

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

3073112064 is a wasteful number, since it uses less digits than its factorization.

3073112064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3073112064 is about 55435.6569727463. The cubic root of 3073112064 is about 1453.8718658114.

Adding to 3073112064 its reverse (4602113703), we get a palindrome (7675225767).

The spelling of 3073112064 in words is "three billion, seventy-three million, one hundred twelve thousand, sixty-four".