3866400 has 144 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1025280.

The previous prime is 3866399. The next prime is 3866419. The reversal of 3866400 is 46683.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21511 + ... + 21689.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^3866400 is an apocalyptic number.

3866400 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 3866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

3866400 is an abundant number, since it is smaller than the sum of its proper divisors (10195200).

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

3866400 is a wasteful number, since it uses less digits than its factorization.

3866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3866400 is about 1966.3163529809. The cubic root of 3866400 is about 156.9527492466.

It can be divided in two parts, 386 and 6400, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 3866400 in words is "three million, eight hundred sixty-six thousand, four hundred".