3146644116 has 144 divisors (see below), whose sum is σ = 9962010240. Its totient is φ = 813576960.

The previous prime is 3146644051. The next prime is 3146644141. The reversal of 3146644116 is 6114466413.

3146644116 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 644 + 1 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632310 + ... + 637266.

Almost surely, 2^3146644116 is an apocalyptic number.

3146644116 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 3146644116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981005120).

3146644116 is an abundant number, since it is smaller than the sum of its proper divisors (6815366124).

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

3146644116 is a wasteful number, since it uses less digits than its factorization.

3146644116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5209 counting only the distinct ones).

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

The square root of 3146644116 is about 56094.9562438549. The cubic root of 3146644116 is about 1465.3764544873.

The spelling of 3146644116 in words is "three billion, one hundred forty-six million, six hundred forty-four thousand, one hundred sixteen".