3835616517348 has 192 divisors, whose sum is σ = 11211714662400. Its totient is φ = 991493429760.

The previous prime is 3835616517329. The next prime is 3835616517371. The reversal of 3835616517348 is 8437156165383.

It is a junction number, because it is equal to n+sod(n) for n = 3835616517291 and 3835616517300.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 168832086 + ... + 168854802.

It is an arithmetic number, because the mean of its divisors is an integer number (58394347200).

Almost surely, 2^{3835616517348} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835616517348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605857331200).

3835616517348 is an abundant number, since it is smaller than the sum of its proper divisors (7376098145052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3835616517348 is a wasteful number, since it uses less digits than its factorization.

3835616517348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23610 (or 23608 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 60.

The spelling of 3835616517348 in words is "three trillion, eight hundred thirty-five billion, six hundred sixteen million, five hundred seventeen thousand, three hundred forty-eight".