3944160 has 192 divisors, whose sum is σ = 15240960. Its totient is φ = 944640.

The previous prime is 3944141. The next prime is 3944173. The reversal of 3944160 is 614493.

3944160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47479 + ... + 47561.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 2^3944160 is an apocalyptic number.

3944160 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 3944160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

3944160 is an abundant number, since it is smaller than the sum of its proper divisors (11296800).

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

3944160 is a wasteful number, since it uses less digits than its factorization.

3944160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3944160 is about 1985.9909365352. The cubic root of 3944160 is about 157.9979703847.

It can be divided in two parts, 394 and 4160, that added together give a palindrome (4554).

The spelling of 3944160 in words is "three million, nine hundred forty-four thousand, one hundred sixty".