3957920 has 48 divisors (see below), whose sum is σ = 9684360. Its totient is φ = 1526784.

The previous prime is 3957907. The next prime is 3957929. The reversal of 3957920 is 297593.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 1731856 = 1492^2 + 1316^2 .

It is not an unprimeable number, because it can be changed into a prime (3957929) 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, 4214 + ... + 5066.

Almost surely, 2^3957920 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 3957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842180).

3957920 is an abundant number, since it is smaller than the sum of its proper divisors (5726440).

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

3957920 is a wasteful number, since it uses less digits than its factorization.

3957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 3957920 is about 1989.4521859045. The cubic root of 3957920 is about 158.1814930912.

The spelling of 3957920 in words is "three million, nine hundred fifty-seven thousand, nine hundred twenty".