34508916076041 has 45 divisors (see below), whose sum is σ = 54833881227645. Its totient is φ = 20913202217160.

The previous prime is 34508916076031. The next prime is 34508916076049. The reversal of 34508916076041 is 14067061980543.

The square root of 34508916076041 is 5874429.

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

34508916076041 is a `hidden beast` number, since 3 + 4 + 508 + 9 + 1 + 60 + 76 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 34508916076041 - 2⁷ = 34508916075913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34508916076049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2132409636 + ... + 2132425818.

Almost surely, 2^{34508916076041} is an apocalyptic number.

34508916076041 is the 5874429-th square number.

34508916076041 is the 2937215-th centered octagonal number.

It is an amenable number.

34508916076041 is a deficient number, since it is larger than the sum of its proper divisors (20324965151604).

34508916076041 is an frugal number, since it uses more digits than its factorization.

34508916076041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32416 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 34508916076041 in words is "thirty-four trillion, five hundred eight billion, nine hundred sixteen million, seventy-six thousand, forty-one".