34789482824121 has 81 divisors (see below), whose sum is σ = 51478204289421. Its totient is φ = 22640262511104.

The previous prime is 34789482824119. The next prime is 34789482824137. The reversal of 34789482824121 is 12142828498743.

The square root of 34789482824121 is 5898261.

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

34789482824121 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 9 + 482 + 8 + 24 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9954409913721 + 24835072910400 = 3155061^2 + 4983480^2 .

It is not a de Polignac number, because 34789482824121 - 2¹ = 34789482824119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34789482824101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 253937830765 + ... + 253937830901.

Almost surely, 2^{34789482824121} is an apocalyptic number.

34789482824121 is the 5898261-st square number.

34789482824121 is the 2949131-st centered octagonal number.

It is an amenable number.

34789482824121 is a deficient number, since it is larger than the sum of its proper divisors (16688721465300).

34789482824121 is an equidigital number, since it uses as much as digits as its factorization.

34789482824121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 34789482824121 in words is "thirty-four trillion, seven hundred eighty-nine billion, four hundred eighty-two million, eight hundred twenty-four thousand, one hundred twenty-one".