3202420 has 48 divisors (see below), whose sum is σ = 7373520. Its totient is φ = 1161216.

The previous prime is 3202411. The next prime is 3202429. The reversal of 3202420 is 242023.

It is an interprime number because it is at equal distance from previous prime (3202411) and next prime (3202429).

It can be written as a sum of positive squares in 8 ways, for example, as 712336 + 2490084 = 844^2 + 1578^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3202420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202429) 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, 28284 + ... + 28396.

It is an arithmetic number, because the mean of its divisors is an integer number (153615).

Almost surely, 2^3202420 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 3202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686760).

3202420 is an abundant number, since it is smaller than the sum of its proper divisors (4171100).

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

3202420 is a wasteful number, since it uses less digits than its factorization.

3202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 3202420 is about 1789.5306647275. The cubic root of 3202420 is about 147.3983979029.

Adding to 3202420 its reverse (242023), we get a palindrome (3444443).

It can be divided in two parts, 320 and 2420, that multiplied together give a square (774400 = 880²).

The spelling of 3202420 in words is "three million, two hundred two thousand, four hundred twenty".