3653856 has 48 divisors (see below), whose sum is σ = 10659600. Its totient is φ = 1217664.

The previous prime is 3653851. The next prime is 3653863. The reversal of 3653856 is 6583563.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 + 6⁴ + 5³ + 3⁹ + 8 + 5⁹ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3653856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (222075).

Almost surely, 2^3653856 is an apocalyptic number.

3653856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3653856 is an abundant number, since it is smaller than the sum of its proper divisors (7005744).

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

3653856 is a wasteful number, since it uses less digits than its factorization.

3653856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4234 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 3653856 is about 1911.5062123885. The cubic root of 3653856 is about 154.0223726421.

The spelling of 3653856 in words is "three million, six hundred fifty-three thousand, eight hundred fifty-six".