3845920 has 72 divisors (see below), whose sum is σ = 10017756. Its totient is φ = 1387008.

The previous prime is 3845909. The next prime is 3845921. The reversal of 3845920 is 295483.

3845920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3579664 + 266256 = 1892^2 + 516^2 .

It is a super-2 number, since 2×3845920² = 29582201292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3845921) 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 11 ways as a sum of consecutive naturals, for example, 89419 + ... + 89461.

Almost surely, 2^3845920 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 3845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008878).

3845920 is an abundant number, since it is smaller than the sum of its proper divisors (6171836).

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

3845920 is a wasteful number, since it uses less digits than its factorization.

3845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3845920 is about 1961.1017311705. The cubic root of 3845920 is about 156.6751366076.

The spelling of 3845920 in words is "three million, eight hundred forty-five thousand, nine hundred twenty".