3342592 has 36 divisors (see below), whose sum is σ = 7284816. Its totient is φ = 1518080.

The previous prime is 3342589. The next prime is 3342601. The reversal of 3342592 is 2952433.

It is a super-2 number, since 2×3342592² = 22345842556928, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁹ + 3¹¹ + 4¹⁰ + 2²⁰ + 5² + 9 + 2²⁰ .

It is a self number, because there is not a number n which added to its sum of digits gives 3342592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2223 + ... + 3409.

It is an arithmetic number, because the mean of its divisors is an integer number (202356).

Almost surely, 2^3342592 is an apocalyptic number.

3342592 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 3342592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642408).

3342592 is an abundant number, since it is smaller than the sum of its proper divisors (3942224).

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

3342592 is a wasteful number, since it uses less digits than its factorization.

3342592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1200 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 3342592 is about 1828.2756903706. The cubic root of 3342592 is about 149.5183364719.

It can be divided in two parts, 334 and 2592, that added together give a triangular number (2926 = T₇₆).

The spelling of 3342592 in words is "three million, three hundred forty-two thousand, five hundred ninety-two".