3666400 has 36 divisors (see below), whose sum is σ = 8952552. Its totient is φ = 1466240.

The previous prime is 3666371. The next prime is 3666409. The reversal of 3666400 is 46663.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1492 + ... + 3091.

It is an arithmetic number, because the mean of its divisors is an integer number (248682).

Almost surely, 2^3666400 is an apocalyptic number.

It is an amenable number.

3666400 is an abundant number, since it is smaller than the sum of its proper divisors (5286152).

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

3666400 is a wasteful number, since it uses less digits than its factorization.

3666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3666400 is about 1914.7845831842. The cubic root of 3666400 is about 154.1984286478.

The spelling of 3666400 in words is "three million, six hundred sixty-six thousand, four hundred".