3146121216 has 288 divisors, whose sum is σ = 10737377280. Its totient is φ = 891813888.

The previous prime is 3146121169. The next prime is 3146121229. The reversal of 3146121216 is 6121216413.

It is a happy number.

3146121216 is a `hidden beast` number, since 31 + 4 + 612 + 1 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3146121216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24772545 + ... + 24772671.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^3146121216 is an apocalyptic number.

3146121216 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 3146121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368688640).

3146121216 is an abundant number, since it is smaller than the sum of its proper divisors (7591256064).

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

3146121216 is an frugal number, since it uses more digits than its factorization.

3146121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3146121216 is about 56090.2952033594. The cubic root of 3146121216 is about 1465.2952793509.

Adding to 3146121216 its reverse (6121216413), we get a palindrome (9267337629).

The spelling of 3146121216 in words is "three billion, one hundred forty-six million, one hundred twenty-one thousand, two hundred sixteen".