3857600 has 42 divisors (see below), whose sum is σ = 9496044. Its totient is φ = 1542400.

The previous prime is 3857569. The next prime is 3857611. The reversal of 3857600 is 67583.

3857600 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395 + ... + 2805.

Almost surely, 2^3857600 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 3857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748022).

3857600 is an abundant number, since it is smaller than the sum of its proper divisors (5638444).

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

3857600 is a wasteful number, since it uses less digits than its factorization.

3857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 3857600 is about 1964.0773915505. The cubic root of 3857600 is about 156.8335829775.

The spelling of 3857600 in words is "three million, eight hundred fifty-seven thousand, six hundred".