3652128 has 60 divisors (see below), whose sum is σ = 10748430. Its totient is φ = 1216512.

The previous prime is 3652097. The next prime is 3652151. The reversal of 3652128 is 8212563.

3652128 is a `hidden beast` number, since 3 + 652 + 1 + 2 + 8 = 666.

3652128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3640464 + 11664 = 1908^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1888 + ... + 3296.

Almost surely, 2^3652128 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 3652128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374215).

3652128 is an abundant number, since it is smaller than the sum of its proper divisors (7096302).

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

3652128 is a wasteful number, since it uses less digits than its factorization.

3652128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1414 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3652128 is about 1911.0541593581. The cubic root of 3652128 is about 153.9980884679.

The spelling of 3652128 in words is "three million, six hundred fifty-two thousand, one hundred twenty-eight".