3629724279263 has 16 divisors (see below), whose sum is σ = 3728723175936. Its totient is φ = 3531391795680.

The previous prime is 3629724279257. The next prime is 3629724279271.

3629724279263 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3629724279263 - 2²² = 3629720084959 is a prime.

It is a super-3 number, since 3×3629724279263³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3629724279196 and 3629724279205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629724279463) 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 15 ways as a sum of consecutive naturals, for example, 125707718 + ... + 125736588.

It is an arithmetic number, because the mean of its divisors is an integer number (233045198496).

Almost surely, 2^{3629724279263} is an apocalyptic number.

3629724279263 is a deficient number, since it is larger than the sum of its proper divisors (98998896673).

3629724279263 is a wasteful number, since it uses less digits than its factorization.

3629724279263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40294.

The product of its digits is 82301184, while the sum is 62.

The spelling of 3629724279263 in words is "three trillion, six hundred twenty-nine billion, seven hundred twenty-four million, two hundred seventy-nine thousand, two hundred sixty-three".