3605120813829 has 16 divisors (see below), whose sum is σ = 4858587981632. Its totient is φ = 2377556264448.

The previous prime is 3605120813821. The next prime is 3605120813837. The reversal of 3605120813829 is 9283180215063.

It is an interprime number because it is at equal distance from previous prime (3605120813821) and next prime (3605120813837).

It is not a de Polignac number, because 3605120813829 - 2³ = 3605120813821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605120813821) 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 15 ways as a sum of consecutive naturals, for example, 2170714 + ... + 3452859.

It is an arithmetic number, because the mean of its divisors is an integer number (303661748852).

Almost surely, 2^{3605120813829} is an apocalyptic number.

It is an amenable number.

3605120813829 is a deficient number, since it is larger than the sum of its proper divisors (1253467167803).

3605120813829 is a wasteful number, since it uses less digits than its factorization.

3605120813829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625876.

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 3605120813829 in words is "three trillion, six hundred five billion, one hundred twenty million, eight hundred thirteen thousand, eight hundred twenty-nine".