3109942080 has 224 divisors, whose sum is σ = 12538740480. Its totient is φ = 710830080.

The previous prime is 3109942067. The next prime is 3109942117. The reversal of 3109942080 is 802499013.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 34770 + ... + 86190.

It is an arithmetic number, because the mean of its divisors is an integer number (55976520).

Almost surely, 2^3109942080 is an apocalyptic number.

3109942080 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 3109942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269370240).

3109942080 is an abundant number, since it is smaller than the sum of its proper divisors (9428798400).

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

3109942080 is a wasteful number, since it uses less digits than its factorization.

3109942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51454 (or 51438 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3109942080 is about 55766.8546719286. The cubic root of 3109942080 is about 1459.6568405984.

The spelling of 3109942080 in words is "three billion, one hundred nine million, nine hundred forty-two thousand, eighty".