3411414142344 has 192 divisors, whose sum is σ = 10203932793600. Its totient is φ = 1022929689600.

The previous prime is 3411414142321. The next prime is 3411414142349. The reversal of 3411414142344 is 4432414141143.

3411414142344 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 4 + 1 + 414 + 234 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3411414142299 and 3411414142308.

It is not an unprimeable number, because it can be changed into a prime (3411414142349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34911747 + ... + 35009325.

It is an arithmetic number, because the mean of its divisors is an integer number (53145483300).

Almost surely, 2^{3411414142344} 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 3411414142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101966396800).

3411414142344 is an abundant number, since it is smaller than the sum of its proper divisors (6792518651256).

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

3411414142344 is a wasteful number, since it uses less digits than its factorization.

3411414142344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98556 (or 98549 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 3411414142344 its reverse (4432414141143), we get a palindrome (7843828283487).

The spelling of 3411414142344 in words is "three trillion, four hundred eleven billion, four hundred fourteen million, one hundred forty-two thousand, three hundred forty-four".