3201208920 has 768 divisors, whose sum is σ = 13942656000. Its totient is φ = 618098688.

The previous prime is 3201208891. The next prime is 3201208949. The reversal of 3201208920 is 298021023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3201208891) and next prime (3201208949).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 23030211 + ... + 23030349.

It is an arithmetic number, because the mean of its divisors is an integer number (18154500).

Almost surely, 2^3201208920 is an apocalyptic number.

3201208920 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 3201208920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328000).

3201208920 is an abundant number, since it is smaller than the sum of its proper divisors (10741447080).

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

3201208920 is a wasteful number, since it uses less digits than its factorization.

3201208920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3201208920 is about 56579.2269300315. The cubic root of 3201208920 is about 1473.7981468989.

Adding to 3201208920 its reverse (298021023), we get a palindrome (3499229943).

The spelling of 3201208920 in words is "three billion, two hundred one million, two hundred eight thousand, nine hundred twenty".