3279120 has 80 divisors (see below), whose sum is σ = 10957632. Its totient is φ = 806400.

The previous prime is 3279037. The next prime is 3279127. The reversal of 3279120 is 219723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3279127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 3645.

Almost surely, 2^3279120 is an apocalyptic number.

3279120 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 3279120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478816).

3279120 is an abundant number, since it is smaller than the sum of its proper divisors (7678512).

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

3279120 is a wasteful number, since it uses less digits than its factorization.

3279120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3279120 is about 1810.8340619725. The cubic root of 3279120 is about 148.5658880718.

The spelling of 3279120 in words is "three million, two hundred seventy-nine thousand, one hundred twenty".