3957642 has 36 divisors (see below), whose sum is σ = 9292374. Its totient is φ = 1216800.

The previous prime is 3957637. The next prime is 3957647. The reversal of 3957642 is 2467593.

3957642 is a `hidden beast` number, since 3 + 9 + 5 + 7 + 642 = 666.

3957642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3957637) and next prime (3957647).

It can be written as a sum of positive squares in 3 ways, for example, as 641601 + 3316041 = 801^2 + 1821^2 .

It is a d-powerful number, because it can be written as 3³ + 9⁵ + 5⁵ + 7⁶ + 6⁸ + 4⁵ + 2²¹ .

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3957597 and 3957606.

It is not an unprimeable number, because it can be changed into a prime (3957647) 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 17 ways as a sum of consecutive naturals, for example, 2392 + ... + 3692.

Almost surely, 2^3957642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646187).

3957642 is an abundant number, since it is smaller than the sum of its proper divisors (5334732).

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

3957642 is a wasteful number, since it uses less digits than its factorization.

3957642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1319 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3957642 is about 1989.3823161977. The cubic root of 3957642 is about 158.1777895057.

The spelling of 3957642 in words is "three million, nine hundred fifty-seven thousand, six hundred forty-two".