3242592 has 84 divisors (see below), whose sum is σ = 9640260. Its totient is φ = 1073088.

The previous prime is 3242579. The next prime is 3242623. The reversal of 3242592 is 2952423.

3242592 is a `hidden beast` number, since 32 + 42 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23259 + ... + 23397.

It is an arithmetic number, because the mean of its divisors is an integer number (114765).

Almost surely, 2^3242592 is an apocalyptic number.

3242592 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 3242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820130).

3242592 is an abundant number, since it is smaller than the sum of its proper divisors (6397668).

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

3242592 is an equidigital number, since it uses as much as digits as its factorization.

3242592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3242592 is about 1800.7198560576. The cubic root of 3242592 is about 148.0121733352.

It can be divided in two parts, 324 and 2592, that added together give a square (2916 = 54²).

The spelling of 3242592 in words is "three million, two hundred forty-two thousand, five hundred ninety-two".