3883968 has 84 divisors (see below), whose sum is σ = 12164568. Its totient is φ = 1175040.

The previous prime is 3883967. The next prime is 3883969. The reversal of 3883968 is 8693883.

It is an interprime number because it is at equal distance from previous prime (3883967) and next prime (3883969).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3883963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6030 + ... + 6642.

Almost surely, 2^3883968 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 3883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082284).

3883968 is an abundant number, since it is smaller than the sum of its proper divisors (8280600).

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

3883968 is a wasteful number, since it uses less digits than its factorization.

3883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 629 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3883968 is about 1970.7785263697. The cubic root of 3883968 is about 157.1901087341.

It can be divided in two parts, 3883 and 968, that added together give a triangular number (4851 = T₉₈).

The spelling of 3883968 in words is "three million, eight hundred eighty-three thousand, nine hundred sixty-eight".