3806208 has 132 divisors (see below), whose sum is σ = 12773280. Its totient is φ = 1069056.

The previous prime is 3806207. The next prime is 3806233. The reversal of 3806208 is 8026083.

3806208 is a `hidden beast` number, since 38 + 0 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64483 + ... + 64541.

Almost surely, 2^3806208 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 3806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386640).

3806208 is an abundant number, since it is smaller than the sum of its proper divisors (8967072).

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

3806208 is a wasteful number, since it uses less digits than its factorization.

3806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3806208 is about 1950.9505375586. The cubic root of 3806208 is about 156.1340071402.

Multiplying 3806208 by its sum of digits (27), we get a triangular number (102767616 = T₁₄₃₃₆).

It can be divided in two parts, 380620 and 8, that added together give a triangular number (380628 = T₈₇₂).

The spelling of 3806208 in words is "three million, eight hundred six thousand, two hundred eight".