3789504320 has 112 divisors (see below), whose sum is σ = 10329355008. Its totient is φ = 1297182720.

The previous prime is 3789504283. The next prime is 3789504337. The reversal of 3789504320 is 234059873.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2201060 + ... + 2202780.

It is an arithmetic number, because the mean of its divisors is an integer number (92226384).

Almost surely, 2^3789504320 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 3789504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164677504).

3789504320 is an abundant number, since it is smaller than the sum of its proper divisors (6539850688).

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

3789504320 is a wasteful number, since it uses less digits than its factorization.

3789504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3789504320 is about 61558.9499585560. The cubic root of 3789504320 is about 1559.0527231714.

The spelling of 3789504320 in words is "three billion, seven hundred eighty-nine million, five hundred four thousand, three hundred twenty".