3835616491729 has 27 divisors (see below), whose sum is σ = 4407852100827. Its totient is φ = 3334887824400.

The previous prime is 3835616491711. The next prime is 3835616491829. The reversal of 3835616491729 is 9271946165383.

The square root of 3835616491729 is 1958473.

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., 788148001729 + 3047468490000 = 887777^2 + 1745700^2 .

It is not a de Polignac number, because 3835616491729 - 2¹³ = 3835616483537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3835616491429) 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 26 ways as a sum of consecutive naturals, for example, 495489799 + ... + 495497539.

Almost surely, 2^{3835616491729} is an apocalyptic number.

3835616491729 is the 1958473-rd square number.

3835616491729 is the 979237-th centered octagonal number.

It is an amenable number.

3835616491729 is a deficient number, since it is larger than the sum of its proper divisors (572235609098).

3835616491729 is an frugal number, since it uses more digits than its factorization.

3835616491729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15550 (or 7775 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

Multiplying 3835616491729 by its sum of digits (64), we get a square (245479455470656 = 15667784²).

The spelling of 3835616491729 in words is "three trillion, eight hundred thirty-five billion, six hundred sixteen million, four hundred ninety-one thousand, seven hundred twenty-nine".