34144753761 has 12 divisors (see below), whose sum is σ = 50250770388. Its totient is φ = 22333675104.

The previous prime is 34144753703. The next prime is 34144753777. The reversal of 34144753761 is 16735744143.

34144753761 is a `hidden beast` number, since 3 + 4 + 14 + 47 + 537 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26443638225 + 7701115536 = 162615^2 + 87756^2 .

It is not a de Polignac number, because 34144753761 - 2¹⁸ = 34144491617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34144713761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35790670 + ... + 35791623.

It is an arithmetic number, because the mean of its divisors is an integer number (4187564199).

Almost surely, 2^34144753761 is an apocalyptic number.

It is an amenable number.

34144753761 is a deficient number, since it is larger than the sum of its proper divisors (16106016627).

34144753761 is a wasteful number, since it uses less digits than its factorization.

34144753761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71582352 (or 71582349 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 34144753761 in words is "thirty-four billion, one hundred forty-four million, seven hundred fifty-three thousand, seven hundred sixty-one".