3648128 has 32 divisors (see below), whose sum is σ = 7931520. Its totient is φ = 1657600.

The previous prime is 3648107. The next prime is 3648131. The reversal of 3648128 is 8218463.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×3648128³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3648094 and 3648103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (247860).

Almost surely, 2^3648128 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 3648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965760).

3648128 is an abundant number, since it is smaller than the sum of its proper divisors (4283392).

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

3648128 is a wasteful number, since it uses less digits than its factorization.

3648128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2604 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 3648128 is about 1910.0073298289. The cubic root of 3648128 is about 153.9418456984.

It can be divided in two parts, 364 and 8128, that multiplied together give a palindrome (2958592).

The spelling of 3648128 in words is "three million, six hundred forty-eight thousand, one hundred twenty-eight".