3666456 has 24 divisors (see below), whose sum is σ = 9930180. Its totient is φ = 1222128.

The previous prime is 3666427. The next prime is 3666461. The reversal of 3666456 is 6546663.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3 + 6⁵ + 6⁷ + 6⁸ + 4⁷ + 5⁵ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3666456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25390 + ... + 25533.

Almost surely, 2^3666456 is an apocalyptic number.

3666456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3666456 is an abundant number, since it is smaller than the sum of its proper divisors (6263724).

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

3666456 is a wasteful number, since it uses less digits than its factorization.

3666456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50935 (or 50928 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3666456 is about 1914.7992061832. The cubic root of 3666456 is about 154.1992137111.

Adding to 3666456 its product of digits (77760), we get a triangular number (3744216 = T₂₇₃₆).

The spelling of 3666456 in words is "three million, six hundred sixty-six thousand, four hundred fifty-six".