3923424 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1233792.

The previous prime is 3923417. The next prime is 3923429. The reversal of 3923424 is 4243293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16297 + ... + 16535.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 2^3923424 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 3923424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3923424 is an abundant number, since it is smaller than the sum of its proper divisors (8172576).

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

3923424 is a wasteful number, since it uses less digits than its factorization.

3923424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3923424 is about 1980.7634891627. The cubic root of 3923424 is about 157.7205979110.

The spelling of 3923424 in words is "three million, nine hundred twenty-three thousand, four hundred twenty-four".