3665792 has 32 divisors (see below), whose sum is σ = 7868280. Its totient is φ = 1691136.

The previous prime is 3665791. The next prime is 3665797. The reversal of 3665792 is 2975663.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 3² + 6³ + 6⁸ + 5⁹ + 7² + 9 + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 2765.

Almost surely, 2^3665792 is an apocalyptic number.

3665792 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 3665792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934140).

3665792 is an abundant number, since it is smaller than the sum of its proper divisors (4202488).

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

3665792 is a wasteful number, since it uses less digits than its factorization.

3665792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2218 counting only the distinct ones).

The product of its digits is 68040, while the sum is 38.

The square root of 3665792 is about 1914.6258120061. The cubic root of 3665792 is about 154.1899045890.

The spelling of 3665792 in words is "three million, six hundred sixty-five thousand, seven hundred ninety-two".