3466200116742 has 96 divisors (see below), whose sum is σ = 7757350698240. Its totient is φ = 1023981100800.

The previous prime is 3466200116707. The next prime is 3466200116747. The reversal of 3466200116742 is 2476110026643.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3466200116694 and 3466200116703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466200116747) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 158530903 + ... + 158552765.

It is an arithmetic number, because the mean of its divisors is an integer number (80805736440).

Almost surely, 2^{3466200116742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466200116742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878675349120).

3466200116742 is an abundant number, since it is smaller than the sum of its proper divisors (4291150581498).

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

3466200116742 is a wasteful number, since it uses less digits than its factorization.

3466200116742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23390 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

Subtracting from 3466200116742 its reverse (2476110026643), we obtain a palindrome (990090090099).

The spelling of 3466200116742 in words is "three trillion, four hundred sixty-six billion, two hundred million, one hundred sixteen thousand, seven hundred forty-two".