3965940 has 72 divisors (see below), whose sum is σ = 13130208. Its totient is φ = 960960.

The previous prime is 3965939. The next prime is 3965963. The reversal of 3965940 is 495693.

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

It is a junction number, because it is equal to n+sod(n) for n = 3965895 and 3965904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (182364).

Almost surely, 2^3965940 is an apocalyptic number.

3965940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3965940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565104).

3965940 is an abundant number, since it is smaller than the sum of its proper divisors (9164268).

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

3965940 is a wasteful number, since it uses less digits than its factorization.

3965940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3965940 is about 1991.4667961078. The cubic root of 3965940 is about 158.2882629489.

It can be divided in two parts, 396 and 5940, that added together give a palindrome (6336).

The spelling of 3965940 in words is "three million, nine hundred sixty-five thousand, nine hundred forty".