3314521544004 has 288 divisors, whose sum is σ = 10061616015360. Its totient is φ = 908152819200.

The previous prime is 3314521543999. The next prime is 3314521544011. The reversal of 3314521544004 is 4004451254133.

3314521544004 is a `hidden beast` number, since 3 + 31 + 4 + 5 + 215 + 4 + 400 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3314521544004.

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 95 ways as a sum of consecutive naturals, for example, 79063809 + ... + 79105719.

It is an arithmetic number, because the mean of its divisors is an integer number (34936166720).

Almost surely, 2^{3314521544004} 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 3314521544004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030808007680).

3314521544004 is an abundant number, since it is smaller than the sum of its proper divisors (6747094471356).

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

3314521544004 is a wasteful number, since it uses less digits than its factorization.

3314521544004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42431 (or 42426 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 3314521544004 its reverse (4004451254133), we get a palindrome (7318972798137).

The spelling of 3314521544004 in words is "three trillion, three hundred fourteen billion, five hundred twenty-one million, five hundred forty-four thousand, four".