3241792 has 28 divisors (see below), whose sum is σ = 6611620. Its totient is φ = 1577088.

The previous prime is 3241783. The next prime is 3241801. The reversal of 3241792 is 2971423.

The cubic root of 3241792 is 148.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3241783) and next prime (3241801).

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 732736 = 1584^2 + 856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3241792.

It is a congruent number.

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, 87598 + ... + 87634.

Almost surely, 2^3241792 is an apocalyptic number.

3241792 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 3241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305810).

3241792 is an abundant number, since it is smaller than the sum of its proper divisors (3369828).

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

3241792 is an frugal number, since it uses more digits than its factorization.

3241792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 39 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 3241792 is about 1800.4977089683.

It can be divided in two parts, 324 and 1792, that added together give a square (2116 = 46²).

The spelling of 3241792 in words is "three million, two hundred forty-one thousand, seven hundred ninety-two".