3006624217444 has 27 divisors (see below), whose sum is σ = 5337180154803. Its totient is φ = 1482017321400.

The previous prime is 3006624217439. The next prime is 3006624217451. The reversal of 3006624217444 is 4447124266003.

It is a happy number.

The square root of 3006624217444 is 1733962.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3006624217444.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246216499 + ... + 246228709.

Almost surely, 2^{3006624217444} is an apocalyptic number.

3006624217444 is the 1733962-nd square number.

It is an amenable number.

3006624217444 is a deficient number, since it is larger than the sum of its proper divisors (2330555937359).

3006624217444 is an frugal number, since it uses more digits than its factorization.

3006624217444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568 (or 12284 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 3006624217444 in words is "three trillion, six billion, six hundred twenty-four million, two hundred seventeen thousand, four hundred forty-four".