3648336 has 60 divisors (see below), whose sum is σ = 10049952. Its totient is φ = 1140224.

The previous prime is 3648317. The next prime is 3648343. The reversal of 3648336 is 6338463.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3648297 and 3648306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13741 + ... + 14003.

Almost surely, 2^3648336 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 3648336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024976).

3648336 is an abundant number, since it is smaller than the sum of its proper divisors (6401616).

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

3648336 is a wasteful number, since it uses less digits than its factorization.

3648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3648336 is about 1910.0617791056. The cubic root of 3648336 is about 153.9447713354.

The spelling of 3648336 in words is "three million, six hundred forty-eight thousand, three hundred thirty-six".