3328832 has 28 divisors (see below), whose sum is σ = 7115556. Its totient is φ = 1536000.

The previous prime is 3328807. The next prime is 3328837. The reversal of 3328832 is 2388233.

It can be written as a sum of positive squares in 2 ways, for example, as 287296 + 3041536 = 536^2 + 1744^2 .

It is a super-2 number, since 2×3328832² = 22162244968448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3328795 and 3328804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1169 + ... + 2832.

It is an arithmetic number, because the mean of its divisors is an integer number (254127).

Almost surely, 2^3328832 is an apocalyptic number.

3328832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3328832 is an abundant number, since it is smaller than the sum of its proper divisors (3786724).

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

3328832 is a wasteful number, since it uses less digits than its factorization.

3328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4016 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 3328832 is about 1824.5087009932. The cubic root of 3328832 is about 149.3128869399.

It can be divided in two parts, 3328 and 832, that multiplied together give a square (2768896 = 1664²).

The spelling of 3328832 in words is "three million, three hundred twenty-eight thousand, eight hundred thirty-two".