3973424 has 40 divisors (see below), whose sum is σ = 9478560. Its totient is φ = 1571328.

The previous prime is 3973421. The next prime is 3973429. The reversal of 3973424 is 4243793.

It is a d-powerful number, because it can be written as 3⁹ + 9 + 7² + 3¹³ + 4³ + 2²¹ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (3973421) 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, 92 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^3973424 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 3973424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739280).

3973424 is an abundant number, since it is smaller than the sum of its proper divisors (5505136).

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

3973424 is a wasteful number, since it uses less digits than its factorization.

3973424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its digits is 18144, while the sum is 32.

The square root of 3973424 is about 1993.3449275025. The cubic root of 3973424 is about 158.3877673103.

The spelling of 3973424 in words is "three million, nine hundred seventy-three thousand, four hundred twenty-four".