34241320100 has 144 divisors (see below), whose sum is σ = 85605177168. Its totient is φ = 11775836160.

The previous prime is 34241320039. The next prime is 34241320129. The reversal of 34241320100 is 102314243.

It can be written as a sum of positive squares in 24 ways, for example, as 20066988964 + 14174331136 = 141658^2 + 119056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2135714 + ... + 2151686.

It is an arithmetic number, because the mean of its divisors is an integer number (594480397).

Almost surely, 2^34241320100 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 34241320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42802588584).

34241320100 is an abundant number, since it is smaller than the sum of its proper divisors (51363857068).

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

34241320100 is a wasteful number, since it uses less digits than its factorization.

34241320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114 (or 16107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34241320100 its reverse (102314243), we get a palindrome (34343634343).

The spelling of 34241320100 in words is "thirty-four billion, two hundred forty-one million, three hundred twenty thousand, one hundred".