3701287320129 has 135 divisors (see below), whose sum is σ = 6628774064367. Its totient is φ = 1984328785152.

The previous prime is 3701287320119. The next prime is 3701287320167. The reversal of 3701287320129 is 9210237821073.

The square root of 3701287320129 is 1923873.

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

3701287320129 is a `hidden beast` number, since 37 + 0 + 1 + 287 + 320 + 12 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1686738575025 + 2014548745104 = 1298745^2 + 1419348^2 .

It is not a de Polignac number, because 3701287320129 - 2⁷ = 3701287320001 is a prime.

It is a super-2 number, since 2×3701287320129² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3701287320109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11675985079 + ... + 11675985395.

Almost surely, 2^{3701287320129} is an apocalyptic number.

3701287320129 is the 1923873-rd square number.

3701287320129 is the 961937-th centered octagonal number.

It is an amenable number.

3701287320129 is a deficient number, since it is larger than the sum of its proper divisors (2927486744238).

3701287320129 is an frugal number, since it uses more digits than its factorization.

3701287320129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 3701287320129 in words is "three trillion, seven hundred one billion, two hundred eighty-seven million, three hundred twenty thousand, one hundred twenty-nine".