3688752 has 80 divisors (see below), whose sum is σ = 10253312. Its totient is φ = 1140480.

The previous prime is 3688709. The next prime is 3688757. The reversal of 3688752 is 2578863.

It is an Ulam number.

Its product of digits (80640) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 3688752.

It is not an unprimeable number, because it can be changed into a prime (3688757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55023 + ... + 55089.

Almost surely, 2^3688752 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 3688752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126656).

3688752 is an abundant number, since it is smaller than the sum of its proper divisors (6564560).

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

3688752 is a wasteful number, since it uses less digits than its factorization.

3688752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 3688752 is about 1920.6124023342. The cubic root of 3688752 is about 154.5111480105.

It can be divided in two parts, 36 and 88752, that added together give a palindrome (88788).

The spelling of 3688752 in words is "three million, six hundred eighty-eight thousand, seven hundred fifty-two".