34434120100 has 36 divisors (see below), whose sum is σ = 74754254484. Its totient is φ = 13767710080.

The previous prime is 34434120089. The next prime is 34434120103. The reversal of 34434120100 is 102143443.

It can be written as a sum of positive squares in 6 ways, for example, as 67634176 + 34366485924 = 8224^2 + 185382^2 .

It is a super-2 number, since 2×34434120100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34434120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162654 + ... + 308746.

It is an arithmetic number, because the mean of its divisors is an integer number (2076507069).

Almost surely, 2^34434120100 is an apocalyptic number.

It is an amenable number.

34434120100 is an abundant number, since it is smaller than the sum of its proper divisors (40320134384).

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

34434120100 is a wasteful number, since it uses less digits than its factorization.

34434120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148464 (or 148457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34434120100 its reverse (102143443), we get a palindrome (34536263543).

The spelling of 34434120100 in words is "thirty-four billion, four hundred thirty-four million, one hundred twenty thousand, one hundred".