3973662 has 96 divisors (see below), whose sum is σ = 11142144. Its totient is φ = 993600.

The previous prime is 3973661. The next prime is 3973691. The reversal of 3973662 is 2663793.

3973662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁷ + 9 + 7² + 3¹³ + 6 + 6⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 65112 + ... + 65172.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^3973662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072).

3973662 is an abundant number, since it is smaller than the sum of its proper divisors (7168482).

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

3973662 is a wasteful number, since it uses less digits than its factorization.

3973662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 3973662 is about 1993.4046252580. The cubic root of 3973662 is about 158.3909296153.

The spelling of 3973662 in words is "three million, nine hundred seventy-three thousand, six hundred sixty-two".