34361977124281 has 9 divisors (see below), whose sum is σ = 34583163515949. Its totient is φ = 34142196570144.

The previous prime is 34361977124227. The next prime is 34361977124351. The reversal of 34361977124281 is 18242177916343.

The square root of 34361977124281 is 5861909.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80717923881 + 34281259200400 = 284109^2 + 5855020^2 .

It is not a de Polignac number, because 34361977124281 - 2¹¹ = 34361977122233 is a prime.

It is a super-2 number, since 2×34361977124281² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34361977724281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 920301045 + ... + 920338381.

Almost surely, 2^{34361977124281} is an apocalyptic number.

34361977124281 is the 5861909-th square number.

34361977124281 is the 2930955-th centered octagonal number.

It is an amenable number.

34361977124281 is a deficient number, since it is larger than the sum of its proper divisors (221186391668).

34361977124281 is an frugal number, since it uses more digits than its factorization.

34361977124281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74988 (or 37494 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 34361977124281 in words is "thirty-four trillion, three hundred sixty-one billion, nine hundred seventy-seven million, one hundred twenty-four thousand, two hundred eighty-one".