3645648 has 100 divisors (see below), whose sum is σ = 11027940. Its totient is φ = 1161216.

The previous prime is 3645643. The next prime is 3645659. The reversal of 3645648 is 8465463.

3645648 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 1871424 = 1332^2 + 1368^2 .

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 + 4⁵ + 5⁹ + 6⁸ + 4⁶ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37536 + ... + 37632.

Almost surely, 2^3645648 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 3645648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513970).

3645648 is an abundant number, since it is smaller than the sum of its proper divisors (7382292).

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

3645648 is a wasteful number, since it uses less digits than its factorization.

3645648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

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

The square root of 3645648 is about 1909.3580072894. The cubic root of 3645648 is about 153.9069545322.

The spelling of 3645648 in words is "three million, six hundred forty-five thousand, six hundred forty-eight".