3918240 has 96 divisors (see below), whose sum is σ = 13728960. Its totient is φ = 1043712.

The previous prime is 3918209. The next prime is 3918251. The reversal of 3918240 is 428193.

3918240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867 + ... + 4773.

It is an arithmetic number, because the mean of its divisors is an integer number (143010).

Almost surely, 2^3918240 is an apocalyptic number.

3918240 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 3918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864480).

3918240 is an abundant number, since it is smaller than the sum of its proper divisors (9810720).

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

3918240 is a wasteful number, since it uses less digits than its factorization.

3918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3918240 is about 1979.4544703024. The cubic root of 3918240 is about 157.6511021550.

The spelling of 3918240 in words is "three million, nine hundred eighteen thousand, two hundred forty".