3685824 has 98 divisors (see below), whose sum is σ = 11104880. Its totient is φ = 1213056.

The previous prime is 3685811. The next prime is 3685837. The reversal of 3685824 is 4285863.

It is an interprime number because it is at equal distance from previous prime (3685811) and next prime (3685837).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46617 + ... + 46695.

Almost surely, 2^3685824 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 3685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552440).

3685824 is an abundant number, since it is smaller than the sum of its proper divisors (7419056).

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

3685824 is an frugal number, since it uses more digits than its factorization.

3685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3685824 is about 1919.8499941402. The cubic root of 3685824 is about 154.4702553729.

The spelling of 3685824 in words is "three million, six hundred eighty-five thousand, eight hundred twenty-four".