3871800 has 120 divisors (see below), whose sum is σ = 13503600. Its totient is φ = 1028160.

The previous prime is 3871787. The next prime is 3871811. The reversal of 3871800 is 81783.

3871800 = T₅₄₄ + T₅₄₅ + ... + T₅₆₈.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16081 + ... + 16319.

It is an arithmetic number, because the mean of its divisors is an integer number (112530).

Almost surely, 2^3871800 is an apocalyptic number.

3871800 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 3871800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751800).

3871800 is an abundant number, since it is smaller than the sum of its proper divisors (9631800).

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

3871800 is a wasteful number, since it uses less digits than its factorization.

3871800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3871800 is about 1967.6889998168. The cubic root of 3871800 is about 157.0257845057.

It can be divided in two parts, 387 and 1800, that added together give a 7-th power (2187 = 3⁷).

The spelling of 3871800 in words is "three million, eight hundred seventy-one thousand, eight hundred".