3273120 has 72 divisors (see below), whose sum is σ = 11174436. Its totient is φ = 872448.

The previous prime is 3273119. The next prime is 3273139. The reversal of 3273120 is 213723.

It can be written as a sum of positive squares in 2 ways, for example, as 3196944 + 76176 = 1788^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3273093 and 3273102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 304 + ... + 2576.

Almost surely, 2^3273120 is an apocalyptic number.

3273120 is a gapful number since it is divisible by the number (30) 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 3273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587218).

3273120 is an abundant number, since it is smaller than the sum of its proper divisors (7901316).

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

3273120 is a wasteful number, since it uses less digits than its factorization.

3273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3273120 is about 1809.1766082945. The cubic root of 3273120 is about 148.4752194817.

Adding to 3273120 its reverse (213723), we get a palindrome (3486843).

The spelling of 3273120 in words is "three million, two hundred seventy-three thousand, one hundred twenty".