3109873680 has 240 divisors, whose sum is σ = 10836431424. Its totient is φ = 798612480.

The previous prime is 3109873661. The next prime is 3109873687. The reversal of 3109873680 is 863789013.

It is a happy number.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (3109873687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849935 + ... + 2851025.

Almost surely, 2^3109873680 is an apocalyptic number.

3109873680 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 3109873680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418215712).

3109873680 is an abundant number, since it is smaller than the sum of its proper divisors (7726557744).

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

3109873680 is a wasteful number, since it uses less digits than its factorization.

3109873680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3109873680 is about 55766.2414010484. The cubic root of 3109873680 is about 1459.6461392994.

The spelling of 3109873680 in words is "three billion, one hundred nine million, eight hundred seventy-three thousand, six hundred eighty".