3924000 has 144 divisors (see below), whose sum is σ = 14054040. Its totient is φ = 1036800.

The previous prime is 3923993. The next prime is 3924017. The reversal of 3924000 is 4293.

It can be written as a sum of positive squares in 4 ways, for example, as 1527696 + 2396304 = 1236^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35946 + ... + 36054.

Almost surely, 2^3924000 is an apocalyptic number.

3924000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027020).

3924000 is an abundant number, since it is smaller than the sum of its proper divisors (10130040).

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

3924000 is a wasteful number, since it uses less digits than its factorization.

3924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3924000 is about 1980.9088823063. The cubic root of 3924000 is about 157.7283158821.

Adding to 3924000 its reverse (4293), we get a palindrome (3928293).

The spelling of 3924000 in words is "three million, nine hundred twenty-four thousand".