3923968 has 28 divisors (see below), whose sum is σ = 7863840. Its totient is φ = 1957888.

The previous prime is 3923963. The next prime is 3923971. The reversal of 3923968 is 8693293.

It is a d-powerful number, because it can be written as 3¹¹ + 9² + 2¹¹ + 3¹³ + 9⁴ + 6⁶ + 8⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 3923968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3923963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7953 + ... + 8431.

Almost surely, 2^3923968 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 3923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931920).

3923968 is an abundant number, since it is smaller than the sum of its proper divisors (3939872).

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

3923968 is an frugal number, since it uses more digits than its factorization.

3923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 481 counting only the distinct ones).

The product of its digits is 69984, while the sum is 40.

The square root of 3923968 is about 1980.9008051894. The cubic root of 3923968 is about 157.7278871257.

The spelling of 3923968 in words is "three million, nine hundred twenty-three thousand, nine hundred sixty-eight".