3853600 has 36 divisors (see below), whose sum is σ = 9409554. Its totient is φ = 1541120.

The previous prime is 3853589. The next prime is 3853609. The reversal of 3853600 is 63583.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 1882384 = 1404^2 + 1372^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1609 + ... + 3208.

Almost surely, 2^3853600 is an apocalyptic number.

It is an amenable number.

3853600 is an abundant number, since it is smaller than the sum of its proper divisors (5555954).

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

3853600 is a wasteful number, since it uses less digits than its factorization.

3853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3853600 is about 1963.0588376307. The cubic root of 3853600 is about 156.7793565771.

The spelling of 3853600 in words is "three million, eight hundred fifty-three thousand, six hundred".