3006769872016 has 15 divisors (see below), whose sum is σ = 5825630065593. Its totient is φ = 1503381468000.

The previous prime is 3006769872013. The next prime is 3006769872053. The reversal of 3006769872016 is 6102789676003.

It is a happy number.

The square root of 3006769872016 is 1734004.

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

It can be written as a sum of positive squares in only one way, i.e., 2225455305616 + 781314566400 = 1491796^2 + 883920^2 .

It is a super-2 number, since 2×3006769872016² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3006769872013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6719266 + ... + 7152766.

Almost surely, 2^{3006769872016} is an apocalyptic number.

3006769872016 is the 1734004-th square number.

It is an amenable number.

3006769872016 is a deficient number, since it is larger than the sum of its proper divisors (2818860193577).

3006769872016 is an frugal number, since it uses more digits than its factorization.

3006769872016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867010 (or 433503 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 3006769872016 in words is "three trillion, six billion, seven hundred sixty-nine million, eight hundred seventy-two thousand, sixteen".