3985200 has 180 divisors, whose sum is σ = 14691768. Its totient is φ = 1036800.

The previous prime is 3985181. The next prime is 3985207. The reversal of 3985200 is 25893.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3985207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97180 + ... + 97220.

Almost surely, 2^3985200 is an apocalyptic number.

3985200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345884).

3985200 is an abundant number, since it is smaller than the sum of its proper divisors (10706568).

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

3985200 is a wasteful number, since it uses less digits than its factorization.

3985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 3985200 is about 1996.2965711537. The cubic root of 3985200 is about 158.5440837748.

The spelling of 3985200 in words is "three million, nine hundred eighty-five thousand, two hundred".