34112445300 has 180 divisors, whose sum is σ = 111615356160. Its totient is φ = 9011407680.

The previous prime is 34112445281. The next prime is 34112445313. The reversal of 34112445300 is 354421143.

It is a happy number.

34112445300 is a `hidden beast` number, since 3 + 4 + 1 + 124 + 4 + 530 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 847021 + ... + 886379.

It is an arithmetic number, because the mean of its divisors is an integer number (620085312).

Almost surely, 2^34112445300 is an apocalyptic number.

34112445300 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 34112445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55807678080).

34112445300 is an abundant number, since it is smaller than the sum of its proper divisors (77502910860).

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

34112445300 is a wasteful number, since it uses less digits than its factorization.

34112445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39492 (or 39476 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34112445300 its reverse (354421143), we get a palindrome (34466866443).

The spelling of 34112445300 in words is "thirty-four billion, one hundred twelve million, four hundred forty-five thousand, three hundred".