3924240 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1028608.

The previous prime is 3924227. The next prime is 3924247. The reversal of 3924240 is 424293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3924240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924247) 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, 19822 + ... + 20018.

Almost surely, 2^3924240 is an apocalyptic number.

3924240 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 3924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

3924240 is an abundant number, since it is smaller than the sum of its proper divisors (8449968).

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

3924240 is a wasteful number, since it uses less digits than its factorization.

3924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3924240 is about 1980.9694596333. The cubic root of 3924240 is about 157.7315314805.

The spelling of 3924240 in words is "three million, nine hundred twenty-four thousand, two hundred forty".