3209820480 has 224 divisors, whose sum is σ = 11920118400. Its totient is φ = 810860544.

The previous prime is 3209820463. The next prime is 3209820487. The reversal of 3209820480 is 840289023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209820487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154384 + ... + 173936.

Almost surely, 2^3209820480 is an apocalyptic number.

3209820480 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 3209820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960059200).

3209820480 is an abundant number, since it is smaller than the sum of its proper divisors (8710297920).

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

3209820480 is a wasteful number, since it uses less digits than its factorization.

3209820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19598 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3209820480 is about 56655.2776005908. The cubic root of 3209820480 is about 1475.1185165709.

The spelling of 3209820480 in words is "three billion, two hundred nine million, eight hundred twenty thousand, four hundred eighty".