3975642 has 80 divisors (see below), whose sum is σ = 10245312. Its totient is φ = 1140480.

The previous prime is 3975599. The next prime is 3975649. The reversal of 3975642 is 2465793.

3975642 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 642 = 666.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹³ + 9² + 7² + 5 + 6⁷ + 4⁶ + 2²¹ .

It is a junction number, because it is equal to n+sod(n) for n = 3975597 and 3975606.

It is not an unprimeable number, because it can be changed into a prime (3975649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40938 + ... + 41034.

Almost surely, 2^3975642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122656).

3975642 is an abundant number, since it is smaller than the sum of its proper divisors (6269670).

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

3975642 is a wasteful number, since it uses less digits than its factorization.

3975642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

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

The square root of 3975642 is about 1993.9012011632. The cubic root of 3975642 is about 158.4172329736.

The spelling of 3975642 in words is "three million, nine hundred seventy-five thousand, six hundred forty-two".