3687824 has 40 divisors (see below), whose sum is σ = 8600640. Its totient is φ = 1496448.

The previous prime is 3687823. The next prime is 3687833. The reversal of 3687824 is 4287863.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (3687823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (215016).

Almost surely, 2^3687824 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 3687824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300320).

3687824 is an abundant number, since it is smaller than the sum of its proper divisors (4912816).

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

3687824 is a wasteful number, since it uses less digits than its factorization.

3687824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 3687824 is about 1920.3707975284. The cubic root of 3687824 is about 154.4981898455.

It can be divided in two parts, 368 and 7824, that added together give a 13-th power (8192 = 2¹³).

The spelling of 3687824 in words is "three million, six hundred eighty-seven thousand, eight hundred twenty-four".