34765042761440 has 24 divisors (see below), whose sum is σ = 82132413524280. Its totient is φ = 13906017104512.

The previous prime is 34765042761431. The next prime is 34765042761451. The reversal of 34765042761440 is 4416724056743.

34765042761440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108640758470 + ... + 108640758789.

It is an arithmetic number, because the mean of its divisors is an integer number (3422183896845).

Almost surely, 2^{34765042761440} is an apocalyptic number.

It is an amenable number.

34765042761440 is an abundant number, since it is smaller than the sum of its proper divisors (47367370762840).

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

34765042761440 is a wasteful number, since it uses less digits than its factorization.

34765042761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217281517274 (or 217281517266 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 53.

The spelling of 34765042761440 in words is "thirty-four trillion, seven hundred sixty-five billion, forty-two million, seven hundred sixty-one thousand, four hundred forty".