3685792 has 48 divisors (see below), whose sum is σ = 8158752. Its totient is φ = 1624320.

The previous prime is 3685783. The next prime is 3685811. The reversal of 3685792 is 2975863.

It is a d-powerful number, because it can be written as 3⁹ + 6⁸ + 8³ + 5⁹ + 7 + 9² + 2¹⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12883 + ... + 13165.

It is an arithmetic number, because the mean of its divisors is an integer number (169974).

Almost surely, 2^3685792 is an apocalyptic number.

3685792 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 3685792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079376).

3685792 is an abundant number, since it is smaller than the sum of its proper divisors (4472960).

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

3685792 is a wasteful number, since it uses less digits than its factorization.

3685792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 3685792 is about 1919.8416601376. The cubic root of 3685792 is about 154.4698083393.

The spelling of 3685792 in words is "three million, six hundred eighty-five thousand, seven hundred ninety-two".