3854366208 has 800 divisors, whose sum is σ = 15400585728. Its totient is φ = 928972800.

The previous prime is 3854366149. The next prime is 3854366209. The reversal of 3854366208 is 8026634583.

It is a happy number.

3854366208 is a `hidden beast` number, since 3 + 8 + 5 + 436 + 6 + 208 = 666.

3854366208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3854366208² = 29712277730744598528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3854366209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54286813 + ... + 54286883.

Almost surely, 2^3854366208 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 3854366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700292864).

3854366208 is an abundant number, since it is smaller than the sum of its proper divisors (11546219520).

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

3854366208 is a wasteful number, since it uses less digits than its factorization.

3854366208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3854366208 is about 62083.5421669866. The cubic root of 3854366208 is about 1567.8974665704.

The spelling of 3854366208 in words is "three billion, eight hundred fifty-four million, three hundred sixty-six thousand, two hundred eight".