3430214334100 has 72 divisors (see below), whose sum is σ = 7702236087840. Its totient is φ = 1324428981120.

The previous prime is 3430214334049. The next prime is 3430214334101. The reversal of 3430214334100 is 14334120343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430214334101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11178927 + ... + 11481673.

It is an arithmetic number, because the mean of its divisors is an integer number (106975501220).

Almost surely, 2^{3430214334100} 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 3430214334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851118043920).

3430214334100 is an abundant number, since it is smaller than the sum of its proper divisors (4272021753740).

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

3430214334100 is a wasteful number, since it uses less digits than its factorization.

3430214334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306697 (or 306690 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 3430214334100 its reverse (14334120343), we get a palindrome (3444548454443).

The spelling of 3430214334100 in words is "three trillion, four hundred thirty billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred".