3205280 has 96 divisors (see below), whose sum is σ = 8636544. Its totient is φ = 1115136.

The previous prime is 3205261. The next prime is 3205289. The reversal of 3205280 is 825023.

It is a Harshad number since it is a multiple of its sum of digits (20).

3205280 is a modest number, since divided by 5280 gives 320 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3205289) 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, 47807 + ... + 47873.

It is an arithmetic number, because the mean of its divisors is an integer number (89964).

Almost surely, 2^3205280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272).

3205280 is an abundant number, since it is smaller than the sum of its proper divisors (5431264).

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

3205280 is a wasteful number, since it uses less digits than its factorization.

3205280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3205280 is about 1790.3295785972. The cubic root of 3205280 is about 147.4422641026.

The spelling of 3205280 in words is "three million, two hundred five thousand, two hundred eighty".