3875200 has 96 divisors (see below), whose sum is σ = 11003760. Its totient is φ = 1320960.

The previous prime is 3875177. The next prime is 3875239. The reversal of 3875200 is 25783.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22314 + ... + 22486.

Almost surely, 2^3875200 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 3875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501880).

3875200 is an abundant number, since it is smaller than the sum of its proper divisors (7128560).

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

3875200 is a wasteful number, since it uses less digits than its factorization.

3875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3875200 is about 1968.5527678983. The cubic root of 3875200 is about 157.0717348360.

The spelling of 3875200 in words is "three million, eight hundred seventy-five thousand, two hundred".