3918824 has 48 divisors (see below), whose sum is σ = 9216900. Its totient is φ = 1548288.

The previous prime is 3918797. The next prime is 3918829. The reversal of 3918824 is 4288193.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3678724 + 240100 = 1918^2 + 490^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3918829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4712 + ... + 5480.

Almost surely, 2^3918824 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 3918824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608450).

3918824 is an abundant number, since it is smaller than the sum of its proper divisors (5298076).

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

3918824 is a wasteful number, since it uses less digits than its factorization.

3918824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 3918824 is about 1979.6019801970. The cubic root of 3918824 is about 157.6589342148.

The spelling of 3918824 in words is "three million, nine hundred eighteen thousand, eight hundred twenty-four".