3789320 has 32 divisors (see below), whose sum is σ = 8671320. Its totient is φ = 1489920.

The previous prime is 3789293. The next prime is 3789323. The reversal of 3789320 is 239873.

It can be written as a sum of positive squares in 4 ways, for example, as 1119364 + 2669956 = 1058^2 + 1634^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1664 + ... + 3216.

Almost surely, 2^3789320 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 3789320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335660).

3789320 is an abundant number, since it is smaller than the sum of its proper divisors (4882000).

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

3789320 is a wasteful number, since it uses less digits than its factorization.

3789320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 3789320 is about 1946.6175792898. The cubic root of 3789320 is about 155.9027445524.

The spelling of 3789320 in words is "three million, seven hundred eighty-nine thousand, three hundred twenty".