3109639680 has 320 divisors, whose sum is σ = 12625620480. Its totient is φ = 710664192.

The previous prime is 3109639661. The next prime is 3109639697. The reversal of 3109639680 is 869369013.

3109639680 is a `hidden beast` number, since 3 + 1 + 0 + 9 + 639 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480627 + ... + 487053.

It is an arithmetic number, because the mean of its divisors is an integer number (39455064).

Almost surely, 2^3109639680 is an apocalyptic number.

3109639680 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 3109639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312810240).

3109639680 is an abundant number, since it is smaller than the sum of its proper divisors (9515980800).

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

3109639680 is an equidigital number, since it uses as much as digits as its factorization.

3109639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3109639680 is about 55764.1433180857. The cubic root of 3109639680 is about 1459.6095284058.

The spelling of 3109639680 in words is "three billion, one hundred nine million, six hundred thirty-nine thousand, six hundred eighty".