3835686348 has 72 divisors (see below), whose sum is σ = 10454790528. Its totient is φ = 1178719488.

The previous prime is 3835686331. The next prime is 3835686391. The reversal of 3835686348 is 8436865383.

3835686348 is a `hidden beast` number, since 38 + 3 + 568 + 6 + 3 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3835686294 and 3835686303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399136 + ... + 408632.

It is an arithmetic number, because the mean of its divisors is an integer number (145205424).

Almost surely, 2^3835686348 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 3835686348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227395264).

3835686348 is an abundant number, since it is smaller than the sum of its proper divisors (6619104180).

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

3835686348 is a wasteful number, since it uses less digits than its factorization.

3835686348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10383 (or 10378 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3835686348 is about 61932.9181292146. The cubic root of 3835686348 is about 1565.3604695217.

The spelling of 3835686348 in words is "three billion, eight hundred thirty-five million, six hundred eighty-six thousand, three hundred forty-eight".