3681964 has 48 divisors (see below), whose sum is σ = 7803936. Its totient is φ = 1497600.

The previous prime is 3681949. The next prime is 3681967. The reversal of 3681964 is 4691863.

3681964 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3681967) 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 15 ways as a sum of consecutive naturals, for example, 23374 + ... + 23530.

It is an arithmetic number, because the mean of its divisors is an integer number (162582).

Almost surely, 2^3681964 is an apocalyptic number.

It is an amenable number.

3681964 is an abundant number, since it is smaller than the sum of its proper divisors (4121972).

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

3681964 is a wasteful number, since it uses less digits than its factorization.

3681964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 224 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 3681964 is about 1918.8444439297. The cubic root of 3681964 is about 154.4163132557.

It can be divided in two parts, 368 and 1964, that added together give a palindrome (2332).

The spelling of 3681964 in words is "three million, six hundred eighty-one thousand, nine hundred sixty-four".