3285792 has 48 divisors (see below), whose sum is σ = 9586080. Its totient is φ = 1094976.

The previous prime is 3285749. The next prime is 3285823. The reversal of 3285792 is 2975823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (199710).

Almost surely, 2^3285792 is an apocalyptic number.

3285792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3285792 is an abundant number, since it is smaller than the sum of its proper divisors (6300288).

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

3285792 is a wasteful number, since it uses less digits than its factorization.

3285792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3808 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3285792 is about 1812.6753708262. The cubic root of 3285792 is about 148.6665817620. Note that the first 3 decimals are identical.

The spelling of 3285792 in words is "three million, two hundred eighty-five thousand, seven hundred ninety-two".