3663456 has 48 divisors (see below), whose sum is σ = 9934848. Its totient is φ = 1180800.

The previous prime is 3663437. The next prime is 3663461. The reversal of 3663456 is 6543663.

3663456 = 634² + 635² + ... + 642².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2361 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (206976).

Almost surely, 2^3663456 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 3663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967424).

3663456 is an abundant number, since it is smaller than the sum of its proper divisors (6271392).

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

3663456 is a wasteful number, since it uses less digits than its factorization.

3663456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 3663456 is about 1914.0156739170. The cubic root of 3663456 is about 154.1571454878.

The spelling of 3663456 in words is "three million, six hundred sixty-three thousand, four hundred fifty-six".