3961692 has 72 divisors (see below), whose sum is σ = 11648000. Its totient is φ = 1111968.

The previous prime is 3961691. The next prime is 3961721. The reversal of 3961692 is 2961693.

3961692 is a `hidden beast` number, since 39 + 616 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 3¹⁰ + 9⁵ + 6⁵ + 1 + 6⁸ + 9⁵ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961691) 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 23 ways as a sum of consecutive naturals, for example, 19809 + ... + 20007.

Almost surely, 2^3961692 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 3961692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824000).

3961692 is an abundant number, since it is smaller than the sum of its proper divisors (7686308).

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

3961692 is a wasteful number, since it uses less digits than its factorization.

3961692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3961692 is about 1990.3999598071. The cubic root of 3961692 is about 158.2317274860.

Subtracting from 3961692 its product of digits (17496), we obtain a square (3944196 = 1986²).

Subtracting from 3961692 its reverse (2961693), we obtain a palindrome (999999).

The spelling of 3961692 in words is "three million, nine hundred sixty-one thousand, six hundred ninety-two".