3886800 has 120 divisors (see below), whose sum is σ = 12915840. Its totient is φ = 998400.

The previous prime is 3886789. The next prime is 3886801. The reversal of 3886800 is 86883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49161 + ... + 49239.

It is an arithmetic number, because the mean of its divisors is an integer number (107632).

Almost surely, 2^3886800 is an apocalyptic number.

3886800 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 3886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457920).

3886800 is an abundant number, since it is smaller than the sum of its proper divisors (9029040).

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

3886800 is a wasteful number, since it uses less digits than its factorization.

3886800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3886800 is about 1971.4968932261. The cubic root of 3886800 is about 157.2283045719.

The spelling of 3886800 in words is "three million, eight hundred eighty-six thousand, eight hundred".