3819760 has 80 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 1237248.

The previous prime is 3819757. The next prime is 3819773. The reversal of 3819760 is 679183.

3819760 is digitally balanced in base 5, 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10461 + ... + 10819.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^3819760 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 3819760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3819760 is an abundant number, since it is smaller than the sum of its proper divisors (6893840).

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

3819760 is a wasteful number, since it uses less digits than its factorization.

3819760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 3819760 is about 1954.4206302636. The cubic root of 3819760 is about 156.3190926432.

The spelling of 3819760 in words is "three million, eight hundred nineteen thousand, seven hundred sixty".