3872800 has 72 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1501440.

The previous prime is 3872797. The next prime is 3872807. The reversal of 3872800 is 82783.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3872807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37549 + ... + 37651.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 2^3872800 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 3872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

3872800 is an abundant number, since it is smaller than the sum of its proper divisors (5876576).

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

3872800 is a wasteful number, since it uses less digits than its factorization.

3872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3872800 is about 1967.9430886080. The cubic root of 3872800 is about 157.0393021002.

It can be divided in two parts, 3872 and 800, that multiplied together give a square (3097600 = 1760²).

The spelling of 3872800 in words is "three million, eight hundred seventy-two thousand, eight hundred".