3109874976 has 144 divisors (see below), whose sum is σ = 9658958400. Its totient is φ = 943326720.

The previous prime is 3109874947. The next prime is 3109874981. The reversal of 3109874976 is 6794789013.

It is a happy number.

3109874976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259975 + ... + 271673.

It is an arithmetic number, because the mean of its divisors is an integer number (67076100).

Almost surely, 2^3109874976 is an apocalyptic number.

3109874976 is a gapful number since it is divisible by the number (36) 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 3109874976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829479200).

3109874976 is an abundant number, since it is smaller than the sum of its proper divisors (6549083424).

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

3109874976 is a wasteful number, since it uses less digits than its factorization.

3109874976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11799 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3109874976 is about 55766.2530209803. The cubic root of 3109874976 is about 1459.6463420624.

The spelling of 3109874976 in words is "three billion, one hundred nine million, eight hundred seventy-four thousand, nine hundred seventy-six".