3886400 has 84 divisors (see below), whose sum is σ = 10960608. Its totient is φ = 1328640.

The previous prime is 3886397. The next prime is 3886403. The reversal of 3886400 is 46883.

It is an interprime number because it is at equal distance from previous prime (3886397) and next prime (3886403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886403) 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, 11027 + ... + 11373.

Almost surely, 2^3886400 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 3886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480304).

3886400 is an abundant number, since it is smaller than the sum of its proper divisors (7074208).

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

3886400 is a wasteful number, since it uses less digits than its factorization.

3886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 3886400 is about 1971.3954448563. The cubic root of 3886400 is about 157.2229108050. Note that the first 3 decimals are identical.

The spelling of 3886400 in words is "three million, eight hundred eighty-six thousand, four hundred".