3627648 has 96 divisors (see below), whose sum is σ = 10820160. Its totient is φ = 1165824.

The previous prime is 3627641. The next prime is 3627649. The reversal of 3627648 is 8467263.

3627648 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 3⁹ + 6⁸ + 2¹⁷ + 7⁶ + 6⁸ + 4 + 8 .

It is not an unprimeable number, because it can be changed into a prime (3627641) 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, 54111 + ... + 54177.

It is an arithmetic number, because the mean of its divisors is an integer number (112710).

Almost surely, 2^3627648 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 3627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410080).

3627648 is an abundant number, since it is smaller than the sum of its proper divisors (7192512).

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

3627648 is a wasteful number, since it uses less digits than its factorization.

3627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3627648 is about 1904.6385483865. The cubic root of 3627648 is about 153.6532367547.

The spelling of 3627648 in words is "three million, six hundred twenty-seven thousand, six hundred forty-eight".