3835608 has 96 divisors (see below), whose sum is σ = 11788800. Its totient is φ = 1018368.

The previous prime is 3835607. The next prime is 3835613. The reversal of 3835608 is 8065383.

3835608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48513 + ... + 48591.

It is an arithmetic number, because the mean of its divisors is an integer number (122800).

Almost surely, 2^3835608 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 3835608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894400).

3835608 is an abundant number, since it is smaller than the sum of its proper divisors (7953192).

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

3835608 is a wasteful number, since it uses less digits than its factorization.

3835608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3835608 is about 1958.4708320524. The cubic root of 3835608 is about 156.5349811395.

The spelling of 3835608 in words is "three million, eight hundred thirty-five thousand, six hundred eight".