34541440100 has 36 divisors (see below), whose sum is σ = 75502071204. Its totient is φ = 13715719680.

The previous prime is 34541440057. The next prime is 34541440111. The reversal of 34541440100 is 104414543.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2316881956 + 32224558144 = 48134^2 + 179512^2 .

It is a super-2 number, since 2×34541440100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34541440100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246937 + ... + 1274336.

Almost surely, 2^34541440100 is an apocalyptic number.

It is an amenable number.

34541440100 is an abundant number, since it is smaller than the sum of its proper divisors (40960631104).

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

34541440100 is a wasteful number, since it uses less digits than its factorization.

34541440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521424 (or 2521417 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 34541440100 its reverse (104414543), we get a palindrome (34645854643).

The spelling of 34541440100 in words is "thirty-four billion, five hundred forty-one million, four hundred forty thousand, one hundred".