3075823968 has 288 divisors, whose sum is σ = 10077419520. Its totient is φ = 803727360.

The previous prime is 3075823967. The next prime is 3075823969. The reversal of 3075823968 is 8693285703.

3075823968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3075823967) and next prime (3075823969).

It is a self number, because there is not a number n which added to its sum of digits gives 3075823968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3075823963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7520148 + ... + 7520556.

It is an arithmetic number, because the mean of its divisors is an integer number (34991040).

Almost surely, 2^3075823968 is an apocalyptic number.

3075823968 is a gapful number since it is divisible by the number (38) 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 3075823968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038709760).

3075823968 is an abundant number, since it is smaller than the sum of its proper divisors (7001595552).

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

3075823968 is a wasteful number, since it uses less digits than its factorization.

3075823968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 3075823968 is about 55460.1115036744. Note that the first 3 decimals coincide. The cubic root of 3075823968 is about 1454.2994022019.

The spelling of 3075823968 in words is "three billion, seventy-five million, eight hundred twenty-three thousand, nine hundred sixty-eight".