3897920 has 56 divisors (see below), whose sum is σ = 10006584. Its totient is φ = 1437696.

The previous prime is 3897899. The next prime is 3897937. The reversal of 3897920 is 297983.

3897920 is nontrivially palindromic in base 15.

3897920 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 4 ways, for example, as 87616 + 3810304 = 296^2 + 1952^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3692 + ... + 4628.

It is an arithmetic number, because the mean of its divisors is an integer number (178689).

Almost surely, 2^3897920 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 3897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003292).

3897920 is an abundant number, since it is smaller than the sum of its proper divisors (6108664).

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

3897920 is a wasteful number, since it uses less digits than its factorization.

3897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 3897920 is about 1974.3150711069. The cubic root of 3897920 is about 157.3781033817.

The spelling of 3897920 in words is "three million, eight hundred ninety-seven thousand, nine hundred twenty".