3973580 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1290240.

The previous prime is 3973579. The next prime is 3973633. The reversal of 3973580 is 853793.

3973580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3973580.

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 31 ways as a sum of consecutive naturals, for example, 128165 + ... + 128195.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3973580 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 3973580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3973580 is an abundant number, since it is smaller than the sum of its proper divisors (6187060).

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

3973580 is a wasteful number, since it uses less digits than its factorization.

3973580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 3973580 is about 1993.3840573256. The cubic root of 3973580 is about 158.3898400959.

The spelling of 3973580 in words is "three million, nine hundred seventy-three thousand, five hundred eighty".