3206480 has 40 divisors (see below), whose sum is σ = 7533000. Its totient is φ = 1269248.

The previous prime is 3206477. The next prime is 3206509. The reversal of 3206480 is 846023.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 3125824 = 284^2 + 1768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11786 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 2^3206480 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 3206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766500).

3206480 is an abundant number, since it is smaller than the sum of its proper divisors (4326520).

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

3206480 is a wasteful number, since it uses less digits than its factorization.

3206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3206480 is about 1790.6646810612. The cubic root of 3206480 is about 147.4606617300.

It can be divided in two parts, 320 and 6480, that multiplied together give a square (2073600 = 1440²).

The spelling of 3206480 in words is "three million, two hundred six thousand, four hundred eighty".