34406540100 has 243 divisors, whose sum is σ = 112478762487. Its totient is φ = 9135011520.

The previous prime is 34406540087. The next prime is 34406540107. The reversal of 34406540100 is 104560443.

The square root of 34406540100 is 185490.

It is a perfect power (a square), and thus also a powerful number.

34406540100 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 654 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4695812676 + 29710727424 = 68526^2 + 172368^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is not an unprimeable number, because it can be changed into a prime (34406540107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 150246786 + ... + 150247014.

Almost surely, 2^34406540100 is an apocalyptic number.

34406540100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34406540100 is the 185490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34406540100

34406540100 is an abundant number, since it is smaller than the sum of its proper divisors (78072222387).

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

34406540100 is an frugal number, since it uses more digits than its factorization.

34406540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 239 counting only the distinct ones).

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

The spelling of 34406540100 in words is "thirty-four billion, four hundred six million, five hundred forty thousand, one hundred".