3414220424004 has 144 divisors (see below), whose sum is σ = 8803470614400. Its totient is φ = 1029190136832.

The previous prime is 3414220423987. The next prime is 3414220424051. The reversal of 3414220424004 is 4004240224143.

3414220424004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3414220424004² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19586857 + ... + 19760399.

It is an arithmetic number, because the mean of its divisors is an integer number (61135212600).

Almost surely, 2^{3414220424004} 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 3414220424004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401735307200).

3414220424004 is an abundant number, since it is smaller than the sum of its proper divisors (5389250190396).

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

3414220424004 is a wasteful number, since it uses less digits than its factorization.

3414220424004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173774 (or 173759 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 3414220424004 its reverse (4004240224143), we get a palindrome (7418460648147).

The spelling of 3414220424004 in words is "three trillion, four hundred fourteen billion, two hundred twenty million, four hundred twenty-four thousand, four".