3813792 has 24 divisors (see below), whose sum is σ = 10011456. Its totient is φ = 1271232.

The previous prime is 3813773. The next prime is 3813811. The reversal of 3813792 is 2973183.

3813792 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3813773) and next prime (3813811).

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19768 + ... + 19959.

It is an arithmetic number, because the mean of its divisors is an integer number (417144).

Almost surely, 2^3813792 is an apocalyptic number.

3813792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3813792 is an abundant number, since it is smaller than the sum of its proper divisors (6197664).

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

3813792 is a wasteful number, since it uses less digits than its factorization.

3813792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39740 (or 39732 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3813792 is about 1952.8932382493. The cubic root of 3813792 is about 156.2376391288.

The spelling of 3813792 in words is "three million, eight hundred thirteen thousand, seven hundred ninety-two".