3072253968 has 320 divisors, whose sum is σ = 10638604800. Its totient is φ = 830269440.

The previous prime is 3072253949. The next prime is 3072253973. The reversal of 3072253968 is 8693522703.

3072253968 is a `hidden beast` number, since 30 + 7 + 22 + 539 + 68 = 666.

3072253968 is a modest number, since divided by 253968 gives 3072 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4647558 + ... + 4648218.

It is an arithmetic number, because the mean of its divisors is an integer number (33245640).

Almost surely, 2^3072253968 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 3072253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319302400).

3072253968 is an abundant number, since it is smaller than the sum of its proper divisors (7566350832).

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

3072253968 is a wasteful number, since it uses less digits than its factorization.

3072253968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3072253968 is about 55427.9168650600. The cubic root of 3072253968 is about 1453.7365330996.

The spelling of 3072253968 in words is "three billion, seventy-two million, two hundred fifty-three thousand, nine hundred sixty-eight".