3829280 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1207296.

The previous prime is 3829271. The next prime is 3829283. The reversal of 3829280 is 829283.

It is a happy number.

3829280 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14429 + ... + 14691.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3829280 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 3829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3829280 is an abundant number, since it is smaller than the sum of its proper divisors (7347424).

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

3829280 is a wasteful number, since it uses less digits than its factorization.

3829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3829280 is about 1956.8546190251. The cubic root of 3829280 is about 156.4488497621.

The spelling of 3829280 in words is "three million, eight hundred twenty-nine thousand, two hundred eighty".