3072341600 has 144 divisors (see below), whose sum is σ = 7666384320. Its totient is φ = 1202073600.

The previous prime is 3072341599. The next prime is 3072341617. The reversal of 3072341600 is 61432703.

It is a self number, because there is not a number n which added to its sum of digits gives 3072341600.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10933460 + ... + 10933740.

It is an arithmetic number, because the mean of its divisors is an integer number (53238780).

Almost surely, 2^3072341600 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 3072341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833192160).

3072341600 is an abundant number, since it is smaller than the sum of its proper divisors (4594042720).

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

3072341600 is a wasteful number, since it uses less digits than its factorization.

3072341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3072341600 is about 55428.7073636036. The cubic root of 3072341600 is about 1453.7503549418.

The spelling of 3072341600 in words is "three billion, seventy-two million, three hundred forty-one thousand, six hundred".