34746770241 has 24 divisors (see below), whose sum is σ = 51497586504. Its totient is φ = 22562749440.

The previous prime is 34746770221. The next prime is 34746770249. The reversal of 34746770241 is 14207764743.

34746770241 is a `hidden beast` number, since 347 + 4 + 67 + 7 + 0 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373610241 + 34373160000 = 19329^2 + 185400^2 .

It is not a de Polignac number, because 34746770241 - 2¹⁴ = 34746753857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34746770249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151365 + ... + 303981.

It is an arithmetic number, because the mean of its divisors is an integer number (2145732771).

Almost surely, 2^34746770241 is an apocalyptic number.

It is an amenable number.

34746770241 is a deficient number, since it is larger than the sum of its proper divisors (16750816263).

34746770241 is a wasteful number, since it uses less digits than its factorization.

34746770241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153281 (or 153278 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 34746770241 in words is "thirty-four billion, seven hundred forty-six million, seven hundred seventy thousand, two hundred forty-one".