3200513220 has 144 divisors (see below), whose sum is σ = 9989179200. Its totient is φ = 828995328.

The previous prime is 3200513213. The next prime is 3200513243. The reversal of 3200513220 is 223150023.

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 = 3200513193 and 3200513202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1523731 + ... + 1525829.

It is an arithmetic number, because the mean of its divisors is an integer number (69369300).

Almost surely, 2^3200513220 is an apocalyptic number.

3200513220 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 3200513220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994589600).

3200513220 is an abundant number, since it is smaller than the sum of its proper divisors (6788665980).

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

3200513220 is a wasteful number, since it uses less digits than its factorization.

3200513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3200513220 is about 56573.0785798334. The cubic root of 3200513220 is about 1473.6913751885.

Adding to 3200513220 its reverse (223150023), we get a palindrome (3423663243).

The spelling of 3200513220 in words is "three billion, two hundred million, five hundred thirteen thousand, two hundred twenty".