3835666828 has 48 divisors (see below), whose sum is σ = 7928653824. Its totient is φ = 1588849920.

The previous prime is 3835666801. The next prime is 3835666927. The reversal of 3835666828 is 8286665383.

3835666828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 845775 + ... + 850297.

It is an arithmetic number, because the mean of its divisors is an integer number (165180288).

Almost surely, 2^3835666828 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 3835666828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964326912).

3835666828 is an abundant number, since it is smaller than the sum of its proper divisors (4092986996).

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

3835666828 is a wasteful number, since it uses less digits than its factorization.

3835666828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542 (or 5540 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 55.

The square root of 3835666828 is about 61932.7605391525. The cubic root of 3835666828 is about 1565.3578141179.

The spelling of 3835666828 in words is "three billion, eight hundred thirty-five million, six hundred sixty-six thousand, eight hundred twenty-eight".