3223792 has 40 divisors (see below), whose sum is σ = 7343280. Its totient is φ = 1351680.

The previous prime is 3223771. The next prime is 3223793. The reversal of 3223792 is 2973223.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3223792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 2992.

It is an arithmetic number, because the mean of its divisors is an integer number (183582).

Almost surely, 2^3223792 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 3223792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671640).

3223792 is an abundant number, since it is smaller than the sum of its proper divisors (4119488).

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

3223792 is a wasteful number, since it uses less digits than its factorization.

3223792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1435 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 3223792 is about 1795.4921330933. The cubic root of 3223792 is about 147.7255688755.

It can be divided in two parts, 322 and 3792, that added together give a palindrome (4114).

The spelling of 3223792 in words is "three million, two hundred twenty-three thousand, seven hundred ninety-two".