3819960 has 112 divisors (see below), whose sum is σ = 12984840. Its totient is φ = 1010880.

The previous prime is 3819943. The next prime is 3819979. The reversal of 3819960 is 699183.

3819960 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 (36).

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 27 ways as a sum of consecutive naturals, for example, 29095 + ... + 29225.

Almost surely, 2^3819960 is an apocalyptic number.

3819960 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 3819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492420).

3819960 is an abundant number, since it is smaller than the sum of its proper divisors (9164880).

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

3819960 is a wasteful number, since it uses less digits than its factorization.

3819960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3819960 is about 1954.4717956522. The cubic root of 3819960 is about 156.3218208489.

The spelling of 3819960 in words is "three million, eight hundred nineteen thousand, nine hundred sixty".