34071045760 has 64 divisors (see below), whose sum is σ = 82987989480. Its totient is φ = 13371265024.

The previous prime is 34071045751. The next prime is 34071045761. The reversal of 34071045760 is 6754017043.

It can be written as a sum of positive squares in 4 ways, for example, as 30770773056 + 3300272704 = 175416^2 + 57448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (34071045761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468307 + ... + 536146.

Almost surely, 2^34071045760 is an apocalyptic number.

It is an amenable number.

34071045760 is an abundant number, since it is smaller than the sum of its proper divisors (48916943720).

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

34071045760 is a wasteful number, since it uses less digits than its factorization.

34071045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004525 (or 1004513 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 34071045760 in words is "thirty-four billion, seventy-one million, forty-five thousand, seven hundred sixty".