3007140960321 has 45 divisors (see below), whose sum is σ = 4741488910323. Its totient is φ = 1899059638320.

The previous prime is 3007140960281. The next prime is 3007140960323. The reversal of 3007140960321 is 1230690417003.

The square root of 3007140960321 is 1734111.

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

3007140960321 is a `hidden beast` number, since 3 + 0 + 0 + 7 + 1 + 40 + 9 + 603 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 542931711921 + 2464209248400 = 736839^2 + 1569780^2 .

It is not a de Polignac number, because 3007140960321 - 2²⁵ = 3007107405889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3007140960323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 296527911 + ... + 296538051.

Almost surely, 2^{3007140960321} is an apocalyptic number.

3007140960321 is the 1734111-st square number.

3007140960321 is the 867056-th centered octagonal number.

It is an amenable number.

3007140960321 is a deficient number, since it is larger than the sum of its proper divisors (1734347950002).

3007140960321 is an frugal number, since it uses more digits than its factorization.

3007140960321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20332 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 3007140960321 by its sum of digits (36), we get a square (108257074571556 = 10404666²).

The spelling of 3007140960321 in words is "three trillion, seven billion, one hundred forty million, nine hundred sixty thousand, three hundred twenty-one".