3121663776 has 576 divisors, whose sum is σ = 11285277696. Its totient is φ = 745113600.

The previous prime is 3121663771. The next prime is 3121663901. The reversal of 3121663776 is 6773661213.

It is a happy number.

It is a super-3 number, since 3×3121663776³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (3121663771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51174786 + ... + 51174846.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^3121663776 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 3121663776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642638848).

3121663776 is an abundant number, since it is smaller than the sum of its proper divisors (8163613920).

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

3121663776 is a wasteful number, since it uses less digits than its factorization.

3121663776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 3121663776 is about 55871.8513743728. The cubic root of 3121663776 is about 1461.4884076808.

The spelling of 3121663776 in words is "three billion, one hundred twenty-one million, six hundred sixty-three thousand, seven hundred seventy-six".