3002166120976 has 135 divisors (see below), whose sum is σ = 6525250938157. Its totient is φ = 1337071415680.

The previous prime is 3002166120929. The next prime is 3002166121013. The reversal of 3002166120976 is 6790216612003.

The square root of 3002166120976 is 1732676.

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

3002166120976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2164252899600 + 837913221376 = 1471140^2 + 915376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4040600061 + ... + 4040600803.

Almost surely, 2^{3002166120976} is an apocalyptic number.

3002166120976 is the 1732676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002166120976

3002166120976 is an abundant number, since it is smaller than the sum of its proper divisors (3523084817181).

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

3002166120976 is an frugal number, since it uses more digits than its factorization.

3002166120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 3002166120976 in words is "three trillion, two billion, one hundred sixty-six million, one hundred twenty thousand, nine hundred seventy-six".