3868992 has 56 divisors (see below), whose sum is σ = 11379200. Its totient is φ = 1289088.

The previous prime is 3868987. The next prime is 3868999. The reversal of 3868992 is 2998683.

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 (3868999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609 + ... + 2847.

It is an arithmetic number, because the mean of its divisors is an integer number (203200).

Almost surely, 2^3868992 is an apocalyptic number.

3868992 is a gapful number since it is divisible by the number (32) 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 3868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689600).

3868992 is an abundant number, since it is smaller than the sum of its proper divisors (7510208).

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

3868992 is a wasteful number, since it uses less digits than its factorization.

3868992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2244 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3868992 is about 1966.9753430076. The cubic root of 3868992 is about 156.9878146519.

It can be divided in two parts, 38689 and 92, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 3868992 in words is "three million, eight hundred sixty-eight thousand, nine hundred ninety-two".