3964940 has 48 divisors (see below), whose sum is σ = 9633792. Its totient is φ = 1342656.

The previous prime is 3964937. The next prime is 3964943. The reversal of 3964940 is 494693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3964937) and next prime (3964943).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3964940.

It is not an unprimeable number, because it can be changed into a prime (3964943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17669 + ... + 17891.

It is an arithmetic number, because the mean of its divisors is an integer number (200704).

Almost surely, 2^3964940 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 3964940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816896).

3964940 is an abundant number, since it is smaller than the sum of its proper divisors (5668852).

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

3964940 is a wasteful number, since it uses less digits than its factorization.

3964940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3964940 is about 1991.2157090582. The cubic root of 3964940 is about 158.2749578586.

The spelling of 3964940 in words is "three million, nine hundred sixty-four thousand, nine hundred forty".