3865968 has 100 divisors (see below), whose sum is σ = 11853160. Its totient is φ = 1213056.

The previous prime is 3865963. The next prime is 3865969. The reversal of 3865968 is 8695683.

It is a super-3 number, since 3×3865968³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24546 + ... + 24702.

Almost surely, 2^3865968 is an apocalyptic number.

3865968 is a gapful number since it is divisible by the number (38) 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 3865968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926580).

3865968 is an abundant number, since it is smaller than the sum of its proper divisors (7987192).

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

3865968 is a wasteful number, since it uses less digits than its factorization.

3865968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 181 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3865968 is about 1966.2064998367. The cubic root of 3865968 is about 156.9469034888.

The spelling of 3865968 in words is "three million, eight hundred sixty-five thousand, nine hundred sixty-eight".