3645642 has 64 divisors (see below), whose sum is σ = 9805824. Its totient is φ = 872640.

The previous prime is 3645623. The next prime is 3645643. The reversal of 3645642 is 2465463.

3645642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3 + 6⁵ + 4⁵ + 5⁹ + 6⁸ + 4⁶ + 2 .

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

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 31 ways as a sum of consecutive naturals, for example, 5703 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 2^3645642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902912).

3645642 is an abundant number, since it is smaller than the sum of its proper divisors (6160182).

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

3645642 is a wasteful number, since it uses less digits than its factorization.

3645642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643.

The product of its digits is 17280, while the sum is 30.

The square root of 3645642 is about 1909.3564360800. The cubic root of 3645642 is about 153.9068700989.

It can be divided in two parts, 364 and 5642, that added together give a palindrome (6006).

The spelling of 3645642 in words is "three million, six hundred forty-five thousand, six hundred forty-two".