3656448 has 108 divisors (see below), whose sum is σ = 11303320. Its totient is φ = 1165824.

The previous prime is 3656447. The next prime is 3656453. The reversal of 3656448 is 8446563.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3656448 is a `hidden beast` number, since 3 + 6 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×3656448² = 26739223953408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3656441) 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, 158965 + ... + 158987.

Almost surely, 2^3656448 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 3656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651660).

3656448 is an abundant number, since it is smaller than the sum of its proper divisors (7646872).

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

3656448 is an equidigital number, since it uses as much as digits as its factorization.

3656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3656448 is about 1912.1840915560. The cubic root of 3656448 is about 154.0587845519.

The spelling of 3656448 in words is "three million, six hundred fifty-six thousand, four hundred forty-eight".