3829760 has 104 divisors (see below), whose sum is σ = 10615536. Its totient is φ = 1310720.

The previous prime is 3829757. The next prime is 3829781. The reversal of 3829760 is 679283.

It is a self number, because there is not a number n which added to its sum of digits gives 3829760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225272 + ... + 225288.

Almost surely, 2^3829760 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 3829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307768).

3829760 is an abundant number, since it is smaller than the sum of its proper divisors (6785776).

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

3829760 is a wasteful number, since it uses less digits than its factorization.

3829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 3829760 is about 1956.9772609818. The cubic root of 3829760 is about 156.4553864401.

The spelling of 3829760 in words is "three million, eight hundred twenty-nine thousand, seven hundred sixty".