3073945248 has 384 divisors, whose sum is σ = 10668672000. Its totient is φ = 850590720.

The previous prime is 3073945241. The next prime is 3073945249. The reversal of 3073945248 is 8425493703.

3073945248 is a `hidden beast` number, since 30 + 7 + 3 + 94 + 524 + 8 = 666.

3073945248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3073945241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5236411 + ... + 5236997.

It is an arithmetic number, because the mean of its divisors is an integer number (27783000).

Almost surely, 2^3073945248 is an apocalyptic number.

3073945248 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 3073945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336000).

3073945248 is an abundant number, since it is smaller than the sum of its proper divisors (7594726752).

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

3073945248 is a wasteful number, since it uses less digits than its factorization.

3073945248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3073945248 is about 55443.1713378663. The cubic root of 3073945248 is about 1454.0032454785.

The spelling of 3073945248 in words is "three billion, seventy-three million, nine hundred forty-five thousand, two hundred forty-eight".