3412334454100 has 144 divisors (see below), whose sum is σ = 8723550407040. Its totient is φ = 1142206732800.

The previous prime is 3412334454071. The next prime is 3412334454121. The reversal of 3412334454100 is 14544332143.

It is a congruent number.

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, 4801354 + ... + 5466046.

It is an arithmetic number, because the mean of its divisors is an integer number (60580211160).

Almost surely, 2^{3412334454100} 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 3412334454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361775203520).

3412334454100 is an abundant number, since it is smaller than the sum of its proper divisors (5311215952940).

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

3412334454100 is a wasteful number, since it uses less digits than its factorization.

3412334454100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665090 (or 665083 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 3412334454100 its reverse (14544332143), we get a palindrome (3426878786243).

The spelling of 3412334454100 in words is "three trillion, four hundred twelve billion, three hundred thirty-four million, four hundred fifty-four thousand, one hundred".