34320434100 has 144 divisors (see below), whose sum is σ = 102148545408. Its totient is φ = 8890421760.

The previous prime is 34320434081. The next prime is 34320434123. The reversal of 34320434100 is 143402343.

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, 8067574 + ... + 8071826.

Almost surely, 2^34320434100 is an apocalyptic number.

34320434100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34320434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51074272704).

34320434100 is an abundant number, since it is smaller than the sum of its proper divisors (67828111308).

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

34320434100 is a wasteful number, since it uses less digits than its factorization.

34320434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34320434100 its reverse (143402343), we get a palindrome (34463836443).

The spelling of 34320434100 in words is "thirty-four billion, three hundred twenty million, four hundred thirty-four thousand, one hundred".