3102210114444 has 576 divisors, whose sum is σ = 9607334510592. Its totient is φ = 825080256000.

The previous prime is 3102210114427. The next prime is 3102210114547. The reversal of 3102210114444 is 4444110122013.

3102210114444 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 210 + 1 + 1 + 4 + 444 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14702417499 + ... + 14702417709.

It is an arithmetic number, because the mean of its divisors is an integer number (16679400192).

Almost surely, 2^{3102210114444} 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 3102210114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803667255296).

3102210114444 is an abundant number, since it is smaller than the sum of its proper divisors (6505124396148).

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

3102210114444 is a wasteful number, since it uses less digits than its factorization.

3102210114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 3102210114444 its reverse (4444110122013), we get a palindrome (7546320236457).

The spelling of 3102210114444 in words is "three trillion, one hundred two billion, two hundred ten million, one hundred fourteen thousand, four hundred forty-four".