3072004416 has 84 divisors (see below), whose sum is σ = 9482703412. Its totient is φ = 945229824.

The previous prime is 3072004387. The next prime is 3072004421. The reversal of 3072004416 is 6144002703.

It can be written as a sum of positive squares in 2 ways, for example, as 1926858816 + 1145145600 = 43896^2 + 33840^2 .

It is a super-2 number, since 2×3072004416² = 18874422263847002112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3072004416.

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 11 ways as a sum of consecutive naturals, for example, 197641 + ... + 212616.

Almost surely, 2^3072004416 is an apocalyptic number.

3072004416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3072004416 is an abundant number, since it is smaller than the sum of its proper divisors (6410698996).

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

3072004416 is a wasteful number, since it uses less digits than its factorization.

3072004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410288 (or 410275 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3072004416 is about 55425.6656793583. The cubic root of 3072004416 is about 1453.6971708283.

The spelling of 3072004416 in words is "three billion, seventy-two million, four thousand, four hundred sixteen".