3109446144 has 200 divisors, whose sum is σ = 10607707968. Its totient is φ = 888330240.

The previous prime is 3109446127. The next prime is 3109446211. The reversal of 3109446144 is 4416449013.

It is a happy number.

3109446144 is a `hidden beast` number, since 31 + 0 + 9 + 4 + 4 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3109446099 and 3109446108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 284949 + ... + 295659.

Almost surely, 2^3109446144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3109446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303853984).

3109446144 is an abundant number, since it is smaller than the sum of its proper divisors (7498261824).

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

3109446144 is an equidigital number, since it uses as much as digits as its factorization.

3109446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10748 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3109446144 is about 55762.4079824392. The cubic root of 3109446144 is about 1459.5792469928.

The spelling of 3109446144 in words is "three billion, one hundred nine million, four hundred forty-six thousand, one hundred forty-four".