3129364538001 has 81 divisors (see below), whose sum is σ = 4976142164721. Its totient is φ = 1894217966784.

The previous prime is 3129364537993. The next prime is 3129364538009. The reversal of 3129364538001 is 1008354639213.

The square root of 3129364538001 is 1769001.

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

3129364538001 is a `hidden beast` number, since 31 + 2 + 93 + 6 + 453 + 80 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3129364537993) and next prime (3129364538009).

It can be written as a sum of positive squares in 4 ways, for example, as 305754808401 + 2823609729600 = 552951^2 + 1680360^2 .

It is not a de Polignac number, because 3129364538001 - 2³ = 3129364537993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3129364538009) 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 80 ways as a sum of consecutive naturals, for example, 4622399275 + ... + 4622399951.

Almost surely, 2^{3129364538001} is an apocalyptic number.

3129364538001 is the 1769001-st square number.

3129364538001 is the 884501-st centered octagonal number.

It is an amenable number.

3129364538001 is a deficient number, since it is larger than the sum of its proper divisors (1846777626720).

3129364538001 is an frugal number, since it uses more digits than its factorization.

3129364538001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3129364538001 in words is "three trillion, one hundred twenty-nine billion, three hundred sixty-four million, five hundred thirty-eight thousand, one".