3813992 has 64 divisors (see below), whose sum is σ = 9139200. Its totient is φ = 1460160.

The previous prime is 3813983. The next prime is 3814009. The reversal of 3813992 is 2993183.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3813992 = 26³ + 156³ = 123³ + 125³.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123017 + ... + 123047.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 2^3813992 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 3813992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569600).

3813992 is an abundant number, since it is smaller than the sum of its proper divisors (5325208).

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

3813992 is a wasteful number, since it uses less digits than its factorization.

3813992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 3813992 is about 1952.9444436542. The cubic root of 3813992 is about 156.2403701799.

The spelling of 3813992 in words is "three million, eight hundred thirteen thousand, nine hundred ninety-two".