3858320 has 40 divisors (see below), whose sum is σ = 9501624. Its totient is φ = 1452032.

The previous prime is 3858317. The next prime is 3858367. The reversal of 3858320 is 238583.

3858320 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 4 ways, for example, as 110224 + 3748096 = 332^2 + 1936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 2778.

Almost surely, 2^3858320 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 3858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750812).

3858320 is an abundant number, since it is smaller than the sum of its proper divisors (5643304).

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

3858320 is a wasteful number, since it uses less digits than its factorization.

3858320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 3858320 is about 1964.2606751651. The cubic root of 3858320 is about 156.8433397482.

The spelling of 3858320 in words is "three million, eight hundred fifty-eight thousand, three hundred twenty".