3829936 has 40 divisors (see below), whose sum is σ = 8285184. Its totient is φ = 1700160.

The previous prime is 3829927. The next prime is 3829949. The reversal of 3829936 is 6399283.

It is a super-3 number, since 3×3829936³ (a number of 21 digits) contains 333 as substring.

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, 8041 + ... + 8503.

Almost surely, 2^3829936 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 3829936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142592).

3829936 is an abundant number, since it is smaller than the sum of its proper divisors (4455248).

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

3829936 is a wasteful number, since it uses less digits than its factorization.

3829936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 3829936 is about 1957.0222277736. The cubic root of 3829936 is about 156.4577830851.

The spelling of 3829936 in words is "three million, eight hundred twenty-nine thousand, nine hundred thirty-six".