3973120 has 56 divisors (see below), whose sum is σ = 9633204. Its totient is φ = 1572864.

The previous prime is 3973117. The next prime is 3973129. The reversal of 3973120 is 213793.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 36864 = 1984^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (3973129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40912 + ... + 41008.

Almost surely, 2^3973120 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 3973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816602).

3973120 is an abundant number, since it is smaller than the sum of its proper divisors (5660084).

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

3973120 is an frugal number, since it uses more digits than its factorization.

3973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3973120 is about 1993.2686723069. The cubic root of 3973120 is about 158.3837278799.

The spelling of 3973120 in words is "three million, nine hundred seventy-three thousand, one hundred twenty".