3829632 has 32 divisors (see below), whose sum is σ = 10173480. Its totient is φ = 1276416.

The previous prime is 3829613. The next prime is 3829633. The reversal of 3829632 is 2369283.

3829632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3829593 and 3829602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4603 + ... + 5370.

Almost surely, 2^3829632 is an apocalyptic number.

3829632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3829632 is an abundant number, since it is smaller than the sum of its proper divisors (6343848).

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

3829632 is an equidigital number, since it uses as much as digits as its factorization.

3829632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 9978 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 3829632 is about 1956.9445572116. The cubic root of 3829632 is about 156.4536433794.

The spelling of 3829632 in words is "three million, eight hundred twenty-nine thousand, six hundred thirty-two".