34095485440 has 40 divisors (see below), whose sum is σ = 81749259900. Its totient is φ = 13638193152.

The previous prime is 34095485393. The next prime is 34095485441. The reversal of 34095485440 is 4458459043.

It can be written as a sum of positive squares in 2 ways, for example, as 33779499264 + 315986176 = 183792^2 + 17776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34095485441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6656715 + ... + 6661834.

Almost surely, 2^34095485440 is an apocalyptic number.

It is an amenable number.

34095485440 is an abundant number, since it is smaller than the sum of its proper divisors (47653774460).

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

34095485440 is an equidigital number, since it uses as much as digits as its factorization.

34095485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318572 (or 13318556 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 34095485440 in words is "thirty-four billion, ninety-five million, four hundred eighty-five thousand, four hundred forty".