3832320 has 80 divisors (see below), whose sum is σ = 12276000. Its totient is φ = 1019904.

The previous prime is 3832307. The next prime is 3832337. The reversal of 3832320 is 232383.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7431 + ... + 7929.

It is an arithmetic number, because the mean of its divisors is an integer number (153450).

Almost surely, 2^3832320 is an apocalyptic number.

3832320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138000).

3832320 is an abundant number, since it is smaller than the sum of its proper divisors (8443680).

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

3832320 is an equidigital number, since it uses as much as digits as its factorization.

3832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3832320 is about 1957.6312216554. The cubic root of 3832320 is about 156.4902395012.

The spelling of 3832320 in words is "three million, eight hundred thirty-two thousand, three hundred twenty".