3696479200129 has 9 divisors (see below), whose sum is σ = 3744016206147. Its totient is φ = 3649538359584.

The previous prime is 3696479200121. The next prime is 3696479200171. The reversal of 3696479200129 is 9210029746963.

The square root of 3696479200129 is 1922623.

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., 3695871676225 + 607523904 = 1922465^2 + 24648^2 .

It is not a de Polignac number, because 3696479200129 - 2³ = 3696479200121 is a prime.

It is a super-3 number, since 3×3696479200129³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3696479200121) 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, 151875049 + ... + 151899385.

It is an arithmetic number, because the mean of its divisors is an integer number (416001800683).

Almost surely, 2^{3696479200129} is an apocalyptic number.

3696479200129 is the 1922623-rd square number.

3696479200129 is the 961312-nd centered octagonal number.

It is an amenable number.

3696479200129 is a deficient number, since it is larger than the sum of its proper divisors (47537006018).

3696479200129 is an frugal number, since it uses more digits than its factorization.

3696479200129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48832 (or 24416 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 3696479200129 in words is "three trillion, six hundred ninety-six billion, four hundred seventy-nine million, two hundred thousand, one hundred twenty-nine".