3642576 has 80 divisors (see below), whose sum is σ = 11082624. Its totient is φ = 1009152.

The previous prime is 3642571. The next prime is 3642577. The reversal of 3642576 is 6752463.

3642576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642571) 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 15 ways as a sum of consecutive naturals, for example, 12286 + ... + 12578.

Almost surely, 2^3642576 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 3642576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541312).

3642576 is an abundant number, since it is smaller than the sum of its proper divisors (7440048).

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

3642576 is a wasteful number, since it uses less digits than its factorization.

3642576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 3642576 is about 1908.5533788710. The cubic root of 3642576 is about 153.8637125600.

The spelling of 3642576 in words is "three million, six hundred forty-two thousand, five hundred seventy-six".