3642562 has 48 divisors (see below), whose sum is σ = 7223040. Its totient is φ = 1360800.

The previous prime is 3642559. The next prime is 3642571. The reversal of 3642562 is 2652463.

It is a happy number.

3642562 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 3⁴ + 6⁸ + 4⁶ + 2¹⁴ + 5⁴ + 6⁸ + 2¹⁸ .

Its product of digits (8640) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 3642562.

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 23 ways as a sum of consecutive naturals, for example, 33364 + ... + 33472.

It is an arithmetic number, because the mean of its divisors is an integer number (150480).

Almost surely, 2^3642562 is an apocalyptic number.

3642562 is a deficient number, since it is larger than the sum of its proper divisors (3580478).

3642562 is a wasteful number, since it uses less digits than its factorization.

3642562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 160 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3642562 is about 1908.5497111681. The cubic root of 3642562 is about 153.8635154381.

Subtracting from 3642562 its reverse (2652463), we obtain a palindrome (990099).

It can be divided in two parts, 364 and 2562, that added together give a triangular number (2926 = T₇₆).

The spelling of 3642562 in words is "three million, six hundred forty-two thousand, five hundred sixty-two".