3963924 has 72 divisors (see below), whose sum is σ = 11002880. Its totient is φ = 1233792.

The previous prime is 3963899. The next prime is 3963931. The reversal of 3963924 is 4293693.

It is a happy number.

3963924 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 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 congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31149 + ... + 31275.

Almost surely, 2^3963924 is an apocalyptic number.

3963924 is a gapful number since it is divisible by the number (34) 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 3963924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501440).

3963924 is an abundant number, since it is smaller than the sum of its proper divisors (7038956).

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

3963924 is a wasteful number, since it uses less digits than its factorization.

3963924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3963924 is about 1990.9605721862. The cubic root of 3963924 is about 158.2614375956.

The spelling of 3963924 in words is "three million, nine hundred sixty-three thousand, nine hundred twenty-four".