3420424431144 has 96 divisors (see below), whose sum is σ = 10627283272320. Its totient is φ = 973548252288.

The previous prime is 3420424431097. The next prime is 3420424431157. The reversal of 3420424431144 is 4411344240243.

3420424431144 is a `hidden beast` number, since 3 + 4 + 204 + 2 + 4 + 431 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3420424431099 and 3420424431108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12769647 + ... + 13034750.

It is an arithmetic number, because the mean of its divisors is an integer number (110700867420).

Almost surely, 2^{3420424431144} is an apocalyptic number.

It is an amenable number.

3420424431144 is an abundant number, since it is smaller than the sum of its proper divisors (7206858841176).

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

3420424431144 is a wasteful number, since it uses less digits than its factorization.

3420424431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25804679 (or 25804672 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3420424431144 its reverse (4411344240243), we get a palindrome (7831768671387).

The spelling of 3420424431144 in words is "three trillion, four hundred twenty billion, four hundred twenty-four million, four hundred thirty-one thousand, one hundred forty-four".