3612671894209 has 81 divisors (see below), whose sum is σ = 4592974348323. Its totient is φ = 2832807751200.

The previous prime is 3612671894189. The next prime is 3612671894213. The reversal of 3612671894209 is 9024981762163.

The square root of 3612671894209 is 1900703.

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

It can be written as a sum of positive squares in only one way, i.e., 1157997666609 + 2454674227600 = 1076103^2 + 1566740^2 .

It is not a de Polignac number, because 3612671894209 - 2⁹ = 3612671893697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3612671894509) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7836598239 + ... + 7836598699.

Almost surely, 2^{3612671894209} is an apocalyptic number.

3612671894209 is the 1900703-rd square number.

3612671894209 is the 950352-nd centered octagonal number.

It is an amenable number.

3612671894209 is a deficient number, since it is larger than the sum of its proper divisors (980302454114).

3612671894209 is an frugal number, since it uses more digits than its factorization.

3612671894209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 3612671894209 in words is "three trillion, six hundred twelve billion, six hundred seventy-one million, eight hundred ninety-four thousand, two hundred nine".