3829960 has 48 divisors (see below), whose sum is σ = 9058140. Its totient is φ = 1457280.

The previous prime is 3829949. The next prime is 3829961. The reversal of 3829960 is 699283.

3829960 = T₁₀₅ + T₁₀₆ + ... + T₂₈₈.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 611524 = 1794^2 + 782^2 .

It is not an unprimeable number, because it can be changed into a prime (3829961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21070 + ... + 21250.

Almost surely, 2^3829960 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 3829960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529070).

3829960 is an abundant number, since it is smaller than the sum of its proper divisors (5228180).

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

3829960 is a wasteful number, since it uses less digits than its factorization.

3829960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 3829960 is about 1957.0283595288. The cubic root of 3829960 is about 156.4581098947.

The spelling of 3829960 in words is "three million, eight hundred twenty-nine thousand, nine hundred sixty".