3011349384976 has 45 divisors (see below), whose sum is σ = 5853365053461. Its totient is φ = 1500819255936.

The previous prime is 3011349384961. The next prime is 3011349384991. The reversal of 3011349384976 is 6794839431103.

The square root of 3011349384976 is 1735324.

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

It is an interprime number because it is at equal distance from previous prime (3011349384961) and next prime (3011349384991).

It can be written as a sum of positive squares in only one way, i.e., 158547312400 + 2852802072576 = 398180^2 + 1689024^2 .

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 3011349384976.

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, 3213819580 + ... + 3213820516.

Almost surely, 2^{3011349384976} is an apocalyptic number.

3011349384976 is the 1735324-th square number.

It is an amenable number.

3011349384976 is a deficient number, since it is larger than the sum of its proper divisors (2842015668485).

3011349384976 is an frugal number, since it uses more digits than its factorization.

3011349384976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 3011349384976 in words is "three trillion, eleven billion, three hundred forty-nine million, three hundred eighty-four thousand, nine hundred seventy-six".