3829360 has 40 divisors (see below), whose sum is σ = 8990496. Its totient is φ = 1516800.

The previous prime is 3829351. The next prime is 3829373. The reversal of 3829360 is 639283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11922 + ... + 12238.

Almost surely, 2^3829360 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 3829360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495248).

3829360 is an abundant number, since it is smaller than the sum of its proper divisors (5161136).

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

3829360 is a wasteful number, since it uses less digits than its factorization.

3829360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3829360 is about 1956.8750598850. The cubic root of 3829360 is about 156.4499392464.

The spelling of 3829360 in words is "three million, eight hundred twenty-nine thousand, three hundred sixty".