3871200 has 72 divisors (see below), whose sum is σ = 12608568. Its totient is φ = 1031680.

The previous prime is 3871177. The next prime is 3871201. The reversal of 3871200 is 21783.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871201) 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, 1594 + ... + 3206.

It is an arithmetic number, because the mean of its divisors is an integer number (175119).

Almost surely, 2^3871200 is an apocalyptic number.

3871200 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 3871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304284).

3871200 is an abundant number, since it is smaller than the sum of its proper divisors (8737368).

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

3871200 is a wasteful number, since it uses less digits than its factorization.

3871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 3871200 is about 1967.5365307917. The cubic root of 3871200 is about 157.0176728317.

Adding to 3871200 its reverse (21783), we get a palindrome (3892983).

The spelling of 3871200 in words is "three million, eight hundred seventy-one thousand, two hundred".