3835534160 has 80 divisors (see below), whose sum is σ = 9022525200. Its totient is φ = 1516277760.

The previous prime is 3835534151. The next prime is 3835534177. The reversal of 3835534160 is 614355383.

3835534160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 788935744 + 3046598416 = 28088^2 + 55196^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3835534160² = 29422644585053811200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2776670 + ... + 2778050.

It is an arithmetic number, because the mean of its divisors is an integer number (112781565).

Almost surely, 2^3835534160 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 3835534160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511262600).

3835534160 is an abundant number, since it is smaller than the sum of its proper divisors (5186991040).

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

3835534160 is a wasteful number, since it uses less digits than its factorization.

3835534160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 3835534160 is about 61931.6894650873. The cubic root of 3835534160 is about 1565.3397663838.

The spelling of 3835534160 in words is "three billion, eight hundred thirty-five million, five hundred thirty-four thousand, one hundred sixty".