3642688 has 56 divisors (see below), whose sum is σ = 8485632. Its totient is φ = 1519104.

The previous prime is 3642679. The next prime is 3642697. The reversal of 3642688 is 8862463.

It is an interprime number because it is at equal distance from previous prime (3642679) and next prime (3642697).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20970 + ... + 21142.

Almost surely, 2^3642688 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 3642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242816).

3642688 is an abundant number, since it is smaller than the sum of its proper divisors (4842944).

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

3642688 is a wasteful number, since it uses less digits than its factorization.

3642688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 3642688 is about 1908.5827202403. The cubic root of 3642688 is about 153.8652895172.

It can be divided in two parts, 36 and 42688, that added together give a palindrome (42724).

The spelling of 3642688 in words is "three million, six hundred forty-two thousand, six hundred eighty-eight".