3864924 has 72 divisors (see below), whose sum is σ = 11429600. Its totient is φ = 1100736.

The previous prime is 3864901. The next prime is 3864929. The reversal of 3864924 is 4294683.

It is a happy number.

3864924 is a `hidden beast` number, since 3 + 8 + 649 + 2 + 4 = 666.

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

It is a d-powerful number, because it can be written as 3¹¹ + 8⁷ + 6⁴ + 4⁷ + 9² + 2¹⁹ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12192 + ... + 12504.

Almost surely, 2^3864924 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 3864924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714800).

3864924 is an abundant number, since it is smaller than the sum of its proper divisors (7564676).

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

3864924 is a wasteful number, since it uses less digits than its factorization.

3864924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3864924 is about 1965.9409960627. The cubic root of 3864924 is about 156.9327744428.

The spelling of 3864924 in words is "three million, eight hundred sixty-four thousand, nine hundred twenty-four".