3007383740761 has 9 divisors (see below), whose sum is σ = 3016632667581. Its totient is φ = 2998163100384.

The previous prime is 3007383740677. The next prime is 3007383740813. The reversal of 3007383740761 is 1670473837003.

It is a happy number.

The square root of 3007383740761 is 1734181.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17458601161 + 2989925139600 = 132131^2 + 1729140^2 .

It is not a de Polignac number, because 3007383740761 - 2³¹ = 3005236257113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3007383740461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 605226685 + ... + 605231653.

It is an arithmetic number, because the mean of its divisors is an integer number (335181407509).

Almost surely, 2^{3007383740761} is an apocalyptic number.

3007383740761 is the 1734181-st square number.

3007383740761 is the 867091-st centered octagonal number.

It is an amenable number.

3007383740761 is a deficient number, since it is larger than the sum of its proper divisors (9248926820).

3007383740761 is an frugal number, since it uses more digits than its factorization.

3007383740761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10636 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 49.

Multiplying 3007383740761 by its sum of digits (49), we get a square (147361803297289 = 12139267²).

The spelling of 3007383740761 in words is "three trillion, seven billion, three hundred eighty-three million, seven hundred forty thousand, seven hundred sixty-one".