3817968 has 80 divisors (see below), whose sum is σ = 12308736. Its totient is φ = 990720.

The previous prime is 3817967. The next prime is 3817969. The reversal of 3817968 is 8697183.

It is an interprime number because it is at equal distance from previous prime (3817967) and next prime (3817969).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3817963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3180 + ... + 4212.

Almost surely, 2^3817968 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 3817968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154368).

3817968 is an abundant number, since it is smaller than the sum of its proper divisors (8490768).

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

3817968 is a wasteful number, since it uses less digits than its factorization.

3817968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3817968 is about 1953.9621285992. The cubic root of 3817968 is about 156.2946436699.

The spelling of 3817968 in words is "three million, eight hundred seventeen thousand, nine hundred sixty-eight".