34755772041 has 9 divisors (see below), whose sum is σ = 50203589709. Its totient is φ = 23170141836.

The previous prime is 34755772033. The next prime is 34755772049. The reversal of 34755772041 is 14027755743.

The square root of 34755772041 is 186429.

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

34755772041 is a `hidden beast` number, since 3 + 4 + 75 + 577 + 2 + 0 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (34755772033) and next prime (34755772049).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 34755772041 - 2³ = 34755772033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34755772049) 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 8 ways as a sum of consecutive naturals, for example, 528216 + ... + 590358.

Almost surely, 2^34755772041 is an apocalyptic number.

34755772041 is the 186429-th square number.

34755772041 is the 93215-th centered octagonal number.

It is an amenable number.

34755772041 is a deficient number, since it is larger than the sum of its proper divisors (15447817668).

34755772041 is an frugal number, since it uses more digits than its factorization.

34755772041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124292 (or 62146 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 34755772041 in words is "thirty-four billion, seven hundred fifty-five million, seven hundred seventy-two thousand, forty-one".