3144412634220 has 288 divisors, whose sum is σ = 11567015276544. Its totient is φ = 680946393600.

The previous prime is 3144412634203. The next prime is 3144412634221. The reversal of 3144412634220 is 224362144413.

3144412634220 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 4 + 12 + 634 + 2 + 2 + 0 = 666.

3144412634220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3144412634221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172392 + ... + 2768271.

It is an arithmetic number, because the mean of its divisors is an integer number (40163247488).

Almost surely, 2^{3144412634220} is an apocalyptic number.

3144412634220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144412634220 is an abundant number, since it is smaller than the sum of its proper divisors (8422602642324).

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

3144412634220 is a wasteful number, since it uses less digits than its factorization.

3144412634220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940733 (or 3940728 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 3144412634220 its reverse (224362144413), we get a palindrome (3368774778633).

The spelling of 3144412634220 in words is "three trillion, one hundred forty-four billion, four hundred twelve million, six hundred thirty-four thousand, two hundred twenty".