3209116320 has 240 divisors, whose sum is σ = 11383273440. Its totient is φ = 854924544.

The previous prime is 3209116319. The next prime is 3209116357. The reversal of 3209116320 is 236119023.

3209116320 is a `hidden beast` number, since 3 + 20 + 9 + 1 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 3148771 + ... + 3149789.

It is an arithmetic number, because the mean of its divisors is an integer number (47430306).

Almost surely, 2^3209116320 is an apocalyptic number.

3209116320 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 3209116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691636720).

3209116320 is an abundant number, since it is smaller than the sum of its proper divisors (8174157120).

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

3209116320 is an frugal number, since it uses more digits than its factorization.

3209116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3209116320 is about 56649.0628342606. The cubic root of 3209116320 is about 1475.0106397777.

The spelling of 3209116320 in words is "three billion, two hundred nine million, one hundred sixteen thousand, three hundred twenty".